5-1(t-3)=-1+2(t-3)

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Solution for 5-1(t-3)=-1+2(t-3) equation: 


Simplifying
5 + -1(t + -3) = -1 + 2(t + -3)

Reorder the terms:
5 + -1(-3 + t) = -1 + 2(t + -3)
5 + (-3 * -1 + t * -1) = -1 + 2(t + -3)
5 + (3 + -1t) = -1 + 2(t + -3)

Combine like terms: 5 + 3 = 8
8 + -1t = -1 + 2(t + -3)

Reorder the terms:
8 + -1t = -1 + 2(-3 + t)
8 + -1t = -1 + (-3 * 2 + t * 2)
8 + -1t = -1 + (-6 + 2t)

Combine like terms: -1 + -6 = -7
8 + -1t = -7 + 2t

Solving
8 + -1t = -7 + 2t

Solving for variable 't'.

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

Add '-2t' to each side of the equation.
8 + -1t + -2t = -7 + 2t + -2t

Combine like terms: -1t + -2t = -3t
8 + -3t = -7 + 2t + -2t

Combine like terms: 2t + -2t = 0
8 + -3t = -7 + 0
8 + -3t = -7

Add '-8' to each side of the equation.
8 + -8 + -3t = -7 + -8

Combine like terms: 8 + -8 = 0
0 + -3t = -7 + -8
-3t = -7 + -8

Combine like terms: -7 + -8 = -15
-3t = -15

Divide each side by '-3'.
t = 5

Simplifying
t = 5

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