-5(t-2)-2(2t+1)=-10

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Solution for -5(t-2)-2(2t+1)=-10 equation: 


Simplifying
-5(t + -2) + -2(2t + 1) = -10

Reorder the terms:
-5(-2 + t) + -2(2t + 1) = -10
(-2 * -5 + t * -5) + -2(2t + 1) = -10
(10 + -5t) + -2(2t + 1) = -10

Reorder the terms:
10 + -5t + -2(1 + 2t) = -10
10 + -5t + (1 * -2 + 2t * -2) = -10
10 + -5t + (-2 + -4t) = -10

Reorder the terms:
10 + -2 + -5t + -4t = -10

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

Combine like terms: -5t + -4t = -9t
8 + -9t = -10

Solving
8 + -9t = -10

Solving for variable 't'.

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

Add '-8' to each side of the equation.
8 + -8 + -9t = -10 + -8

Combine like terms: 8 + -8 = 0
0 + -9t = -10 + -8
-9t = -10 + -8

Combine like terms: -10 + -8 = -18
-9t = -18

Divide each side by '-9'.
t = 2

Simplifying
t = 2

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