Show step to solve 3 (t+4) - 2 (2t+3) = -4

Answer: t = 10

Step-by-step explanation:

Reorder the terms:

12 + 3t + - 2 (3 + 2t) = - 4

12 + 3t + (3 * - 2 + 2t * - 2) = - 4

12 + 3t + (-6 + - 4t) = - 4

Reorder the terms:

12 + - 6 + 3t + - 4t = - 4

Combine like terms: 12 + - 6 = 6

6 + 3t + - 4t = - 4

Combine like terms: 3t + - 4t = - 1t

6 + - 1t = - 4

Solving

6 + - 1t = - 4

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '-6' to each side of the equation.

6 + - 6 + - 1t = - 4 + - 6

Combine like terms: 6 + - 6 = 0

0 + - 1t = - 4 + - 6

-1t = - 4 + - 6

Combine like terms: - 4 + - 6 = - 10

-1t = - 10

Divide each side by '-1'.

t = 10

Simplifying

t = 10

t=10

Step-by-step explanation:

3 * (t+4) - 2 * (2*t+3) - (-4) = 0

Step by step solution:

Step 1:

Equation at the end of step 1:

((3 • (t + 4)) - 2 • (2t + 3)) - - 4 = 0

Step 2:

Equation at the end of step 2:

(3 • (t + 4) - 2 • (2t + 3)) - - 4 = 0

Step 3:

Equation at the end of step 3:

10 - t = 0

Step 4:

Solving a Single Variable Equation:

4.1 Solve : - t+10 = 0

Subtract 10 from both sides of the equation:

-t = - 10

Multiply both sides of the equation by (-1) : t = 10