7(t+4)+8=10t-1

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Solution for 7(t+4)+8=10t-1 equation: 


Simplifying
7(t + 4) + 8 = 10t + -1

Reorder the terms:
7(4 + t) + 8 = 10t + -1
(4 * 7 + t * 7) + 8 = 10t + -1
(28 + 7t) + 8 = 10t + -1

Reorder the terms:
28 + 8 + 7t = 10t + -1

Combine like terms: 28 + 8 = 36
36 + 7t = 10t + -1

Reorder the terms:
36 + 7t = -1 + 10t

Solving
36 + 7t = -1 + 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.
36 + 7t + -10t = -1 + 10t + -10t

Combine like terms: 7t + -10t = -3t
36 + -3t = -1 + 10t + -10t

Combine like terms: 10t + -10t = 0
36 + -3t = -1 + 0
36 + -3t = -1

Add '-36' to each side of the equation.
36 + -36 + -3t = -1 + -36

Combine like terms: 36 + -36 = 0
0 + -3t = -1 + -36
-3t = -1 + -36

Combine like terms: -1 + -36 = -37
-3t = -37

Divide each side by '-3'.
t = 12.33333333

Simplifying
t = 12.33333333

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