-3(t-5)+6t=7t-1

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Solution for -3(t-5)+6t=7t-1 equation: 


Simplifying
-3(t + -5) + 6t = 7t + -1

Reorder the terms:
-3(-5 + t) + 6t = 7t + -1
(-5 * -3 + t * -3) + 6t = 7t + -1
(15 + -3t) + 6t = 7t + -1

Combine like terms: -3t + 6t = 3t
15 + 3t = 7t + -1

Reorder the terms:
15 + 3t = -1 + 7t

Solving
15 + 3t = -1 + 7t

Solving for variable 't'.

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

Add '-7t' to each side of the equation.
15 + 3t + -7t = -1 + 7t + -7t

Combine like terms: 3t + -7t = -4t
15 + -4t = -1 + 7t + -7t

Combine like terms: 7t + -7t = 0
15 + -4t = -1 + 0
15 + -4t = -1

Add '-15' to each side of the equation.
15 + -15 + -4t = -1 + -15

Combine like terms: 15 + -15 = 0
0 + -4t = -1 + -15
-4t = -1 + -15

Combine like terms: -1 + -15 = -16
-4t = -16

Divide each side by '-4'.
t = 4

Simplifying
t = 4

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