t+6t(11+7)-8(t-4)=32

Solution for t+6t(11+7)-8(t-4)=32 equation:

Simplifying
t + 6t(11 + 7) + -8(t + -4) = 32

Combine like terms: 11 + 7 = 18
t + 6t(18) + -8(t + -4) = 32

Reorder the terms for easier multiplication:
t + 6 * 18t + -8(t + -4) = 32

Multiply 6 * 18
t + 108t + -8(t + -4) = 32

Reorder the terms:
t + 108t + -8(-4 + t) = 32
t + 108t + (-4 * -8 + t * -8) = 32
t + 108t + (32 + -8t) = 32

Reorder the terms:
32 + t + 108t + -8t = 32

Combine like terms: t + 108t = 109t
32 + 109t + -8t = 32

Combine like terms: 109t + -8t = 101t
32 + 101t = 32

Add '-32' to each side of the equation.
32 + -32 + 101t = 32 + -32

Combine like terms: 32 + -32 = 0
0 + 101t = 32 + -32
101t = 32 + -32

Combine like terms: 32 + -32 = 0
101t = 0

Solving
101t = 0

Solving for variable 't'.

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

Divide each side by '101'.
t = 0

Simplifying
t = 0