7+3t=2(t+3)-2(-1-t)

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Solution for 7+3t=2(t+3)-2(-1-t) equation:


Simplifying
7 + 3t = 2(t + 3) + -2(-1 + -1t)

Reorder the terms:
7 + 3t = 2(3 + t) + -2(-1 + -1t)
7 + 3t = (3 * 2 + t * 2) + -2(-1 + -1t)
7 + 3t = (6 + 2t) + -2(-1 + -1t)
7 + 3t = 6 + 2t + (-1 * -2 + -1t * -2)
7 + 3t = 6 + 2t + (2 + 2t)

Reorder the terms:
7 + 3t = 6 + 2 + 2t + 2t

Combine like terms: 6 + 2 = 8
7 + 3t = 8 + 2t + 2t

Combine like terms: 2t + 2t = 4t
7 + 3t = 8 + 4t

Solving
7 + 3t = 8 + 4t

Solving for variable 't'.

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

Add '-4t' to each side of the equation.
7 + 3t + -4t = 8 + 4t + -4t

Combine like terms: 3t + -4t = -1t
7 + -1t = 8 + 4t + -4t

Combine like terms: 4t + -4t = 0
7 + -1t = 8 + 0
7 + -1t = 8

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

Combine like terms: 7 + -7 = 0
0 + -1t = 8 + -7
-1t = 8 + -7

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

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

Simplifying
t = -1

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