-2(3t-4)+3t=5t-7

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Solution for -2(3t-4)+3t=5t-7 equation:


Simplifying
-2(3t + -4) + 3t = 5t + -7

Reorder the terms:
-2(-4 + 3t) + 3t = 5t + -7
(-4 * -2 + 3t * -2) + 3t = 5t + -7
(8 + -6t) + 3t = 5t + -7

Combine like terms: -6t + 3t = -3t
8 + -3t = 5t + -7

Reorder the terms:
8 + -3t = -7 + 5t

Solving
8 + -3t = -7 + 5t

Solving for variable 't'.

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

Add '-5t' to each side of the equation.
8 + -3t + -5t = -7 + 5t + -5t

Combine like terms: -3t + -5t = -8t
8 + -8t = -7 + 5t + -5t

Combine like terms: 5t + -5t = 0
8 + -8t = -7 + 0
8 + -8t = -7

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

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

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

Divide each side by '-8'.
t = 1.875

Simplifying
t = 1.875

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