11(10-t)+3=-3(t-3)-8

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Solution for 11(10-t)+3=-3(t-3)-8 equation: 


Simplifying
11(10 + -1t) + 3 = -3(t + -3) + -8
(10 * 11 + -1t * 11) + 3 = -3(t + -3) + -8
(110 + -11t) + 3 = -3(t + -3) + -8

Reorder the terms:
110 + 3 + -11t = -3(t + -3) + -8

Combine like terms: 110 + 3 = 113
113 + -11t = -3(t + -3) + -8

Reorder the terms:
113 + -11t = -3(-3 + t) + -8
113 + -11t = (-3 * -3 + t * -3) + -8
113 + -11t = (9 + -3t) + -8

Reorder the terms:
113 + -11t = 9 + -8 + -3t

Combine like terms: 9 + -8 = 1
113 + -11t = 1 + -3t

Solving
113 + -11t = 1 + -3t

Solving for variable 't'.

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

Add '3t' to each side of the equation.
113 + -11t + 3t = 1 + -3t + 3t

Combine like terms: -11t + 3t = -8t
113 + -8t = 1 + -3t + 3t

Combine like terms: -3t + 3t = 0
113 + -8t = 1 + 0
113 + -8t = 1

Add '-113' to each side of the equation.
113 + -113 + -8t = 1 + -113

Combine like terms: 113 + -113 = 0
0 + -8t = 1 + -113
-8t = 1 + -113

Combine like terms: 1 + -113 = -112
-8t = -112

Divide each side by '-8'.
t = 14

Simplifying
t = 14

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