9(t-1)-6(8-4t)=32(t-2)-1

Solution for 9(t-1)-6(8-4t)=32(t-2)-1 equation:

Simplifying
9(t + -1) + -6(8 + -4t) = 32(t + -2) + -1

Reorder the terms:
9(-1 + t) + -6(8 + -4t) = 32(t + -2) + -1
(-1 * 9 + t * 9) + -6(8 + -4t) = 32(t + -2) + -1
(-9 + 9t) + -6(8 + -4t) = 32(t + -2) + -1
-9 + 9t + (8 * -6 + -4t * -6) = 32(t + -2) + -1
-9 + 9t + (-48 + 24t) = 32(t + -2) + -1

Reorder the terms:
-9 + -48 + 9t + 24t = 32(t + -2) + -1

Combine like terms: -9 + -48 = -57
-57 + 9t + 24t = 32(t + -2) + -1

Combine like terms: 9t + 24t = 33t
-57 + 33t = 32(t + -2) + -1

Reorder the terms:
-57 + 33t = 32(-2 + t) + -1
-57 + 33t = (-2 * 32 + t * 32) + -1
-57 + 33t = (-64 + 32t) + -1

Reorder the terms:
-57 + 33t = -64 + -1 + 32t

Combine like terms: -64 + -1 = -65
-57 + 33t = -65 + 32t

Solving
-57 + 33t = -65 + 32t

Solving for variable 't'.

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

Add '-32t' to each side of the equation.
-57 + 33t + -32t = -65 + 32t + -32t

Combine like terms: 33t + -32t = 1t
-57 + 1t = -65 + 32t + -32t

Combine like terms: 32t + -32t = 0
-57 + 1t = -65 + 0
-57 + 1t = -65

Add '57' to each side of the equation.
-57 + 57 + 1t = -65 + 57

Combine like terms: -57 + 57 = 0
0 + 1t = -65 + 57
1t = -65 + 57

Combine like terms: -65 + 57 = -8
1t = -8

Divide each side by '1'.
t = -8

Simplifying
t = -8