-3(t-5)+7t=6t-5

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Solution for -3(t-5)+7t=6t-5 equation: 


Simplifying
-3(t + -5) + 7t = 6t + -5

Reorder the terms:
-3(-5 + t) + 7t = 6t + -5
(-5 * -3 + t * -3) + 7t = 6t + -5
(15 + -3t) + 7t = 6t + -5

Combine like terms: -3t + 7t = 4t
15 + 4t = 6t + -5

Reorder the terms:
15 + 4t = -5 + 6t

Solving
15 + 4t = -5 + 6t

Solving for variable 't'.

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

Add '-6t' to each side of the equation.
15 + 4t + -6t = -5 + 6t + -6t

Combine like terms: 4t + -6t = -2t
15 + -2t = -5 + 6t + -6t

Combine like terms: 6t + -6t = 0
15 + -2t = -5 + 0
15 + -2t = -5

Add '-15' to each side of the equation.
15 + -15 + -2t = -5 + -15

Combine like terms: 15 + -15 = 0
0 + -2t = -5 + -15
-2t = -5 + -15

Combine like terms: -5 + -15 = -20
-2t = -20

Divide each side by '-2'.
t = 10

Simplifying
t = 10

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