9(t+9)+6(8t+6)=56(t+2)+6

Solution for 9(t+9)+6(8t+6)=56(t+2)+6 equation:

Simplifying
9(t + 9) + 6(8t + 6) = 56(t + 2) + 6

Reorder the terms:
9(9 + t) + 6(8t + 6) = 56(t + 2) + 6
(9 * 9 + t * 9) + 6(8t + 6) = 56(t + 2) + 6
(81 + 9t) + 6(8t + 6) = 56(t + 2) + 6

Reorder the terms:
81 + 9t + 6(6 + 8t) = 56(t + 2) + 6
81 + 9t + (6 * 6 + 8t * 6) = 56(t + 2) + 6
81 + 9t + (36 + 48t) = 56(t + 2) + 6

Reorder the terms:
81 + 36 + 9t + 48t = 56(t + 2) + 6

Combine like terms: 81 + 36 = 117
117 + 9t + 48t = 56(t + 2) + 6

Combine like terms: 9t + 48t = 57t
117 + 57t = 56(t + 2) + 6

Reorder the terms:
117 + 57t = 56(2 + t) + 6
117 + 57t = (2 * 56 + t * 56) + 6
117 + 57t = (112 + 56t) + 6

Reorder the terms:
117 + 57t = 112 + 6 + 56t

Combine like terms: 112 + 6 = 118
117 + 57t = 118 + 56t

Solving
117 + 57t = 118 + 56t

Solving for variable 't'.

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

Add '-56t' to each side of the equation.
117 + 57t + -56t = 118 + 56t + -56t

Combine like terms: 57t + -56t = 1t
117 + 1t = 118 + 56t + -56t

Combine like terms: 56t + -56t = 0
117 + 1t = 118 + 0
117 + 1t = 118

Add '-117' to each side of the equation.
117 + -117 + 1t = 118 + -117

Combine like terms: 117 + -117 = 0
0 + 1t = 118 + -117
1t = 118 + -117

Combine like terms: 118 + -117 = 1
1t = 1

Divide each side by '1'.
t = 1

Simplifying
t = 1