10(10-t)+6=-6(t-4)-4

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Solution for 10(10-t)+6=-6(t-4)-4 equation: 


Simplifying
10(10 + -1t) + 6 = -6(t + -4) + -4
(10 * 10 + -1t * 10) + 6 = -6(t + -4) + -4
(100 + -10t) + 6 = -6(t + -4) + -4

Reorder the terms:
100 + 6 + -10t = -6(t + -4) + -4

Combine like terms: 100 + 6 = 106
106 + -10t = -6(t + -4) + -4

Reorder the terms:
106 + -10t = -6(-4 + t) + -4
106 + -10t = (-4 * -6 + t * -6) + -4
106 + -10t = (24 + -6t) + -4

Reorder the terms:
106 + -10t = 24 + -4 + -6t

Combine like terms: 24 + -4 = 20
106 + -10t = 20 + -6t

Solving
106 + -10t = 20 + -6t

Solving for variable 't'.

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

Add '6t' to each side of the equation.
106 + -10t + 6t = 20 + -6t + 6t

Combine like terms: -10t + 6t = -4t
106 + -4t = 20 + -6t + 6t

Combine like terms: -6t + 6t = 0
106 + -4t = 20 + 0
106 + -4t = 20

Add '-106' to each side of the equation.
106 + -106 + -4t = 20 + -106

Combine like terms: 106 + -106 = 0
0 + -4t = 20 + -106
-4t = 20 + -106

Combine like terms: 20 + -106 = -86
-4t = -86

Divide each side by '-4'.
t = 21.5

Simplifying
t = 21.5

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