10(-3-2t)+10-2(6t-13)=10

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Solution for 10(-3-2t)+10-2(6t-13)=10 equation:


Simplifying
10(-3 + -2t) + 10 + -2(6t + -13) = 10
(-3 * 10 + -2t * 10) + 10 + -2(6t + -13) = 10
(-30 + -20t) + 10 + -2(6t + -13) = 10

Reorder the terms:
-30 + -20t + 10 + -2(-13 + 6t) = 10
-30 + -20t + 10 + (-13 * -2 + 6t * -2) = 10
-30 + -20t + 10 + (26 + -12t) = 10

Reorder the terms:
-30 + 10 + 26 + -20t + -12t = 10

Combine like terms: -30 + 10 = -20
-20 + 26 + -20t + -12t = 10

Combine like terms: -20 + 26 = 6
6 + -20t + -12t = 10

Combine like terms: -20t + -12t = -32t
6 + -32t = 10

Solving
6 + -32t = 10

Solving for variable 't'.

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

Add '-6' to each side of the equation.
6 + -6 + -32t = 10 + -6

Combine like terms: 6 + -6 = 0
0 + -32t = 10 + -6
-32t = 10 + -6

Combine like terms: 10 + -6 = 4
-32t = 4

Divide each side by '-32'.
t = -0.125

Simplifying
t = -0.125

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