3(t+7)+2=6t-2+21

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Solution for 3(t+7)+2=6t-2+21 equation: 


Simplifying
3(t + 7) + 2 = 6t + -2 + 21

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

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

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

Reorder the terms:
23 + 3t = -2 + 21 + 6t

Combine like terms: -2 + 21 = 19
23 + 3t = 19 + 6t

Solving
23 + 3t = 19 + 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.
23 + 3t + -6t = 19 + 6t + -6t

Combine like terms: 3t + -6t = -3t
23 + -3t = 19 + 6t + -6t

Combine like terms: 6t + -6t = 0
23 + -3t = 19 + 0
23 + -3t = 19

Add '-23' to each side of the equation.
23 + -23 + -3t = 19 + -23

Combine like terms: 23 + -23 = 0
0 + -3t = 19 + -23
-3t = 19 + -23

Combine like terms: 19 + -23 = -4
-3t = -4

Divide each side by '-3'.
t = 1.333333333

Simplifying
t = 1.333333333

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