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

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


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

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

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

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

Combine like terms: -7 + -15 = -22
-22 + -7t + 15t = 7(t + -3) + -5

Combine like terms: -7t + 15t = 8t
-22 + 8t = 7(t + -3) + -5

Reorder the terms:
-22 + 8t = 7(-3 + t) + -5
-22 + 8t = (-3 * 7 + t * 7) + -5
-22 + 8t = (-21 + 7t) + -5

Reorder the terms:
-22 + 8t = -21 + -5 + 7t

Combine like terms: -21 + -5 = -26
-22 + 8t = -26 + 7t

Solving
-22 + 8t = -26 + 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.
-22 + 8t + -7t = -26 + 7t + -7t

Combine like terms: 8t + -7t = 1t
-22 + 1t = -26 + 7t + -7t

Combine like terms: 7t + -7t = 0
-22 + 1t = -26 + 0
-22 + 1t = -26

Add '22' to each side of the equation.
-22 + 22 + 1t = -26 + 22

Combine like terms: -22 + 22 = 0
0 + 1t = -26 + 22
1t = -26 + 22

Combine like terms: -26 + 22 = -4
1t = -4

Divide each side by '1'.
t = -4

Simplifying
t = -4

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