-3(8+7t)=2t+2(4t-53-t)

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Solution for -3(8+7t)=2t+2(4t-53-t) equation: 


Simplifying
-3(8 + 7t) = 2t + 2(4t + -53 + -1t)
(8 * -3 + 7t * -3) = 2t + 2(4t + -53 + -1t)
(-24 + -21t) = 2t + 2(4t + -53 + -1t)

Reorder the terms:
-24 + -21t = 2t + 2(-53 + 4t + -1t)

Combine like terms: 4t + -1t = 3t
-24 + -21t = 2t + 2(-53 + 3t)
-24 + -21t = 2t + (-53 * 2 + 3t * 2)
-24 + -21t = 2t + (-106 + 6t)

Reorder the terms:
-24 + -21t = -106 + 2t + 6t

Combine like terms: 2t + 6t = 8t
-24 + -21t = -106 + 8t

Solving
-24 + -21t = -106 + 8t

Solving for variable 't'.

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

Add '-8t' to each side of the equation.
-24 + -21t + -8t = -106 + 8t + -8t

Combine like terms: -21t + -8t = -29t
-24 + -29t = -106 + 8t + -8t

Combine like terms: 8t + -8t = 0
-24 + -29t = -106 + 0
-24 + -29t = -106

Add '24' to each side of the equation.
-24 + 24 + -29t = -106 + 24

Combine like terms: -24 + 24 = 0
0 + -29t = -106 + 24
-29t = -106 + 24

Combine like terms: -106 + 24 = -82
-29t = -82

Divide each side by '-29'.
t = 2.827586207

Simplifying
t = 2.827586207

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