8(t+2)-3(t-9)=6(t-7)+8

Solution for 8(t+2)-3(t-9)=6(t-7)+8 equation:

Simplifying
8(t + 2) + -3(t + -9) = 6(t + -7) + 8

Reorder the terms:
8(2 + t) + -3(t + -9) = 6(t + -7) + 8
(2 * 8 + t * 8) + -3(t + -9) = 6(t + -7) + 8
(16 + 8t) + -3(t + -9) = 6(t + -7) + 8

Reorder the terms:
16 + 8t + -3(-9 + t) = 6(t + -7) + 8
16 + 8t + (-9 * -3 + t * -3) = 6(t + -7) + 8
16 + 8t + (27 + -3t) = 6(t + -7) + 8

Reorder the terms:
16 + 27 + 8t + -3t = 6(t + -7) + 8

Combine like terms: 16 + 27 = 43
43 + 8t + -3t = 6(t + -7) + 8

Combine like terms: 8t + -3t = 5t
43 + 5t = 6(t + -7) + 8

Reorder the terms:
43 + 5t = 6(-7 + t) + 8
43 + 5t = (-7 * 6 + t * 6) + 8
43 + 5t = (-42 + 6t) + 8

Reorder the terms:
43 + 5t = -42 + 8 + 6t

Combine like terms: -42 + 8 = -34
43 + 5t = -34 + 6t

Solving
43 + 5t = -34 + 6t

Solving for variable 't'.

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

Add '-6t' to each side of the equation.
43 + 5t + -6t = -34 + 6t + -6t

Combine like terms: 5t + -6t = -1t
43 + -1t = -34 + 6t + -6t

Combine like terms: 6t + -6t = 0
43 + -1t = -34 + 0
43 + -1t = -34

Add '-43' to each side of the equation.
43 + -43 + -1t = -34 + -43

Combine like terms: 43 + -43 = 0
0 + -1t = -34 + -43
-1t = -34 + -43

Combine like terms: -34 + -43 = -77
-1t = -77

Divide each side by '-1'.
t = 77

Simplifying
t = 77