40-t=3(t-1)-5

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Solution for 40-t=3(t-1)-5 equation: 


Simplifying
40 + -1t = 3(t + -1) + -5

Reorder the terms:
40 + -1t = 3(-1 + t) + -5
40 + -1t = (-1 * 3 + t * 3) + -5
40 + -1t = (-3 + 3t) + -5

Reorder the terms:
40 + -1t = -3 + -5 + 3t

Combine like terms: -3 + -5 = -8
40 + -1t = -8 + 3t

Solving
40 + -1t = -8 + 3t

Solving for variable 't'.

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

Add '-3t' to each side of the equation.
40 + -1t + -3t = -8 + 3t + -3t

Combine like terms: -1t + -3t = -4t
40 + -4t = -8 + 3t + -3t

Combine like terms: 3t + -3t = 0
40 + -4t = -8 + 0
40 + -4t = -8

Add '-40' to each side of the equation.
40 + -40 + -4t = -8 + -40

Combine like terms: 40 + -40 = 0
0 + -4t = -8 + -40
-4t = -8 + -40

Combine like terms: -8 + -40 = -48
-4t = -48

Divide each side by '-4'.
t = 12

Simplifying
t = 12

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