10(11-t)+4=-4(t-4)-10

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Solution for 10(11-t)+4=-4(t-4)-10 equation:


Simplifying
10(11 + -1t) + 4 = -4(t + -4) + -10
(11 * 10 + -1t * 10) + 4 = -4(t + -4) + -10
(110 + -10t) + 4 = -4(t + -4) + -10

Reorder the terms:
110 + 4 + -10t = -4(t + -4) + -10

Combine like terms: 110 + 4 = 114
114 + -10t = -4(t + -4) + -10

Reorder the terms:
114 + -10t = -4(-4 + t) + -10
114 + -10t = (-4 * -4 + t * -4) + -10
114 + -10t = (16 + -4t) + -10

Reorder the terms:
114 + -10t = 16 + -10 + -4t

Combine like terms: 16 + -10 = 6
114 + -10t = 6 + -4t

Solving
114 + -10t = 6 + -4t

Solving for variable 't'.

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

Add '4t' to each side of the equation.
114 + -10t + 4t = 6 + -4t + 4t

Combine like terms: -10t + 4t = -6t
114 + -6t = 6 + -4t + 4t

Combine like terms: -4t + 4t = 0
114 + -6t = 6 + 0
114 + -6t = 6

Add '-114' to each side of the equation.
114 + -114 + -6t = 6 + -114

Combine like terms: 114 + -114 = 0
0 + -6t = 6 + -114
-6t = 6 + -114

Combine like terms: 6 + -114 = -108
-6t = -108

Divide each side by '-6'.
t = 18

Simplifying
t = 18

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