-8(t+7)+3(7t+6)=12(t-3)+3

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Solution for -8(t+7)+3(7t+6)=12(t-3)+3 equation:


Simplifying
-8(t + 7) + 3(7t + 6) = 12(t + -3) + 3

Reorder the terms:
-8(7 + t) + 3(7t + 6) = 12(t + -3) + 3
(7 * -8 + t * -8) + 3(7t + 6) = 12(t + -3) + 3
(-56 + -8t) + 3(7t + 6) = 12(t + -3) + 3

Reorder the terms:
-56 + -8t + 3(6 + 7t) = 12(t + -3) + 3
-56 + -8t + (6 * 3 + 7t * 3) = 12(t + -3) + 3
-56 + -8t + (18 + 21t) = 12(t + -3) + 3

Reorder the terms:
-56 + 18 + -8t + 21t = 12(t + -3) + 3

Combine like terms: -56 + 18 = -38
-38 + -8t + 21t = 12(t + -3) + 3

Combine like terms: -8t + 21t = 13t
-38 + 13t = 12(t + -3) + 3

Reorder the terms:
-38 + 13t = 12(-3 + t) + 3
-38 + 13t = (-3 * 12 + t * 12) + 3
-38 + 13t = (-36 + 12t) + 3

Reorder the terms:
-38 + 13t = -36 + 3 + 12t

Combine like terms: -36 + 3 = -33
-38 + 13t = -33 + 12t

Solving
-38 + 13t = -33 + 12t

Solving for variable 't'.

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

Add '-12t' to each side of the equation.
-38 + 13t + -12t = -33 + 12t + -12t

Combine like terms: 13t + -12t = 1t
-38 + 1t = -33 + 12t + -12t

Combine like terms: 12t + -12t = 0
-38 + 1t = -33 + 0
-38 + 1t = -33

Add '38' to each side of the equation.
-38 + 38 + 1t = -33 + 38

Combine like terms: -38 + 38 = 0
0 + 1t = -33 + 38
1t = -33 + 38

Combine like terms: -33 + 38 = 5
1t = 5

Divide each side by '1'.
t = 5

Simplifying
t = 5

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