9t+4(7-2)=t+6(t+1)

Solution for 9t+4(7-2)=t+6(t+1) equation:

Simplifying
9t + 4(7 + -2) = t + 6(t + 1)

Combine like terms: 7 + -2 = 5
9t + 4(5) = t + 6(t + 1)

Multiply 4 * 5
9t + 20 = t + 6(t + 1)

Reorder the terms:
20 + 9t = t + 6(t + 1)

Reorder the terms:
20 + 9t = t + 6(1 + t)
20 + 9t = t + (1 * 6 + t * 6)
20 + 9t = t + (6 + 6t)

Reorder the terms:
20 + 9t = 6 + t + 6t

Combine like terms: t + 6t = 7t
20 + 9t = 6 + 7t

Solving
20 + 9t = 6 + 7t

Solving for variable 't'.

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

Add '-7t' to each side of the equation.
20 + 9t + -7t = 6 + 7t + -7t

Combine like terms: 9t + -7t = 2t
20 + 2t = 6 + 7t + -7t

Combine like terms: 7t + -7t = 0
20 + 2t = 6 + 0
20 + 2t = 6

Add '-20' to each side of the equation.
20 + -20 + 2t = 6 + -20

Combine like terms: 20 + -20 = 0
0 + 2t = 6 + -20
2t = 6 + -20

Combine like terms: 6 + -20 = -14
2t = -14

Divide each side by '2'.
t = -7

Simplifying
t = -7