-5(t-5)+2(-2+-8)=-10(t-2)+4

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Solution for -5(t-5)+2(-2+-8)=-10(t-2)+4 equation:


Simplifying
-5(t + -5) + 2(-2 + -8) = -10(t + -2) + 4

Reorder the terms:
-5(-5 + t) + 2(-2 + -8) = -10(t + -2) + 4
(-5 * -5 + t * -5) + 2(-2 + -8) = -10(t + -2) + 4
(25 + -5t) + 2(-2 + -8) = -10(t + -2) + 4

Combine like terms: -2 + -8 = -10
25 + -5t + 2(-10) = -10(t + -2) + 4

Multiply 2 * -10
25 + -5t + -20 = -10(t + -2) + 4

Reorder the terms:
25 + -20 + -5t = -10(t + -2) + 4

Combine like terms: 25 + -20 = 5
5 + -5t = -10(t + -2) + 4

Reorder the terms:
5 + -5t = -10(-2 + t) + 4
5 + -5t = (-2 * -10 + t * -10) + 4
5 + -5t = (20 + -10t) + 4

Reorder the terms:
5 + -5t = 20 + 4 + -10t

Combine like terms: 20 + 4 = 24
5 + -5t = 24 + -10t

Solving
5 + -5t = 24 + -10t

Solving for variable 't'.

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

Add '10t' to each side of the equation.
5 + -5t + 10t = 24 + -10t + 10t

Combine like terms: -5t + 10t = 5t
5 + 5t = 24 + -10t + 10t

Combine like terms: -10t + 10t = 0
5 + 5t = 24 + 0
5 + 5t = 24

Add '-5' to each side of the equation.
5 + -5 + 5t = 24 + -5

Combine like terms: 5 + -5 = 0
0 + 5t = 24 + -5
5t = 24 + -5

Combine like terms: 24 + -5 = 19
5t = 19

Divide each side by '5'.
t = 3.8

Simplifying
t = 3.8

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