3(t+7)+2=6t-2+2t

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


Simplifying
3(t + 7) + 2 = 6t + -2 + 2t

Reorder the terms:
3(7 + t) + 2 = 6t + -2 + 2t
(7 * 3 + t * 3) + 2 = 6t + -2 + 2t
(21 + 3t) + 2 = 6t + -2 + 2t

Reorder the terms:
21 + 2 + 3t = 6t + -2 + 2t

Combine like terms: 21 + 2 = 23
23 + 3t = 6t + -2 + 2t

Reorder the terms:
23 + 3t = -2 + 6t + 2t

Combine like terms: 6t + 2t = 8t
23 + 3t = -2 + 8t

Solving
23 + 3t = -2 + 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.
23 + 3t + -8t = -2 + 8t + -8t

Combine like terms: 3t + -8t = -5t
23 + -5t = -2 + 8t + -8t

Combine like terms: 8t + -8t = 0
23 + -5t = -2 + 0
23 + -5t = -2

Add '-23' to each side of the equation.
23 + -23 + -5t = -2 + -23

Combine like terms: 23 + -23 = 0
0 + -5t = -2 + -23
-5t = -2 + -23

Combine like terms: -2 + -23 = -25
-5t = -25

Divide each side by '-5'.
t = 5

Simplifying
t = 5

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