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

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


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

Reorder the terms:
-4(-5 + 3t) + 5t = 3t + -7
(-5 * -4 + 3t * -4) + 5t = 3t + -7
(20 + -12t) + 5t = 3t + -7

Combine like terms: -12t + 5t = -7t
20 + -7t = 3t + -7

Reorder the terms:
20 + -7t = -7 + 3t

Solving
20 + -7t = -7 + 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.
20 + -7t + -3t = -7 + 3t + -3t

Combine like terms: -7t + -3t = -10t
20 + -10t = -7 + 3t + -3t

Combine like terms: 3t + -3t = 0
20 + -10t = -7 + 0
20 + -10t = -7

Add '-20' to each side of the equation.
20 + -20 + -10t = -7 + -20

Combine like terms: 20 + -20 = 0
0 + -10t = -7 + -20
-10t = -7 + -20

Combine like terms: -7 + -20 = -27
-10t = -27

Divide each side by '-10'.
t = 2.7

Simplifying
t = 2.7

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