-7(t-6)+2(9t+6)=10(t+5)-3

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Solution for -7(t-6)+2(9t+6)=10(t+5)-3 equation:


Simplifying
-7(t + -6) + 2(9t + 6) = 10(t + 5) + -3

Reorder the terms:
-7(-6 + t) + 2(9t + 6) = 10(t + 5) + -3
(-6 * -7 + t * -7) + 2(9t + 6) = 10(t + 5) + -3
(42 + -7t) + 2(9t + 6) = 10(t + 5) + -3

Reorder the terms:
42 + -7t + 2(6 + 9t) = 10(t + 5) + -3
42 + -7t + (6 * 2 + 9t * 2) = 10(t + 5) + -3
42 + -7t + (12 + 18t) = 10(t + 5) + -3

Reorder the terms:
42 + 12 + -7t + 18t = 10(t + 5) + -3

Combine like terms: 42 + 12 = 54
54 + -7t + 18t = 10(t + 5) + -3

Combine like terms: -7t + 18t = 11t
54 + 11t = 10(t + 5) + -3

Reorder the terms:
54 + 11t = 10(5 + t) + -3
54 + 11t = (5 * 10 + t * 10) + -3
54 + 11t = (50 + 10t) + -3

Reorder the terms:
54 + 11t = 50 + -3 + 10t

Combine like terms: 50 + -3 = 47
54 + 11t = 47 + 10t

Solving
54 + 11t = 47 + 10t

Solving for variable 't'.

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

Add '-10t' to each side of the equation.
54 + 11t + -10t = 47 + 10t + -10t

Combine like terms: 11t + -10t = 1t
54 + 1t = 47 + 10t + -10t

Combine like terms: 10t + -10t = 0
54 + 1t = 47 + 0
54 + 1t = 47

Add '-54' to each side of the equation.
54 + -54 + 1t = 47 + -54

Combine like terms: 54 + -54 = 0
0 + 1t = 47 + -54
1t = 47 + -54

Combine like terms: 47 + -54 = -7
1t = -7

Divide each side by '1'.
t = -7

Simplifying
t = -7

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