8t+16-(3t-12)=6t-42+8

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Solution for 8t+16-(3t-12)=6t-42+8 equation:


Simplifying
8t + 16 + -1(3t + -12) = 6t + -42 + 8

Reorder the terms:
8t + 16 + -1(-12 + 3t) = 6t + -42 + 8
8t + 16 + (-12 * -1 + 3t * -1) = 6t + -42 + 8
8t + 16 + (12 + -3t) = 6t + -42 + 8

Reorder the terms:
16 + 12 + 8t + -3t = 6t + -42 + 8

Combine like terms: 16 + 12 = 28
28 + 8t + -3t = 6t + -42 + 8

Combine like terms: 8t + -3t = 5t
28 + 5t = 6t + -42 + 8

Reorder the terms:
28 + 5t = -42 + 8 + 6t

Combine like terms: -42 + 8 = -34
28 + 5t = -34 + 6t

Solving
28 + 5t = -34 + 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.
28 + 5t + -6t = -34 + 6t + -6t

Combine like terms: 5t + -6t = -1t
28 + -1t = -34 + 6t + -6t

Combine like terms: 6t + -6t = 0
28 + -1t = -34 + 0
28 + -1t = -34

Add '-28' to each side of the equation.
28 + -28 + -1t = -34 + -28

Combine like terms: 28 + -28 = 0
0 + -1t = -34 + -28
-1t = -34 + -28

Combine like terms: -34 + -28 = -62
-1t = -62

Divide each side by '-1'.
t = 62

Simplifying
t = 62

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