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

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


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

Reorder the terms:
2 + -2t = -3(3 + t) + 1
2 + -2t = (3 * -3 + t * -3) + 1
2 + -2t = (-9 + -3t) + 1

Reorder the terms:
2 + -2t = -9 + 1 + -3t

Combine like terms: -9 + 1 = -8
2 + -2t = -8 + -3t

Solving
2 + -2t = -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.
2 + -2t + 3t = -8 + -3t + 3t

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

Combine like terms: -3t + 3t = 0
2 + 1t = -8 + 0
2 + 1t = -8

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

Combine like terms: 2 + -2 = 0
0 + 1t = -8 + -2
1t = -8 + -2

Combine like terms: -8 + -2 = -10
1t = -10

Divide each side by '1'.
t = -10

Simplifying
t = -10

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