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 = -19
-19 + 3t = 6t + -2 + 2t

Reorder the terms:
-19 + 3t = -2 + 6t + 2t

Combine like terms: 6t + 2t = 8t
-19 + 3t = -2 + 8t

Solving
-19 + 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.
-19 + 3t + -8t = -2 + 8t + -8t

Combine like terms: 3t + -8t = -5t
-19 + -5t = -2 + 8t + -8t

Combine like terms: 8t + -8t = 0
-19 + -5t = -2 + 0
-19 + -5t = -2

Add '19' to each side of the equation.
-19 + 19 + -5t = -2 + 19

Combine like terms: -19 + 19 = 0
0 + -5t = -2 + 19
-5t = -2 + 19

Combine like terms: -2 + 19 = 17
-5t = 17

Divide each side by '-5'.
t = -3.4

Simplifying
t = -3.4

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