2(4t+6)-3(2t-3)=-3(3t-4)+5+10t

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Solution for 2(4t+6)-3(2t-3)=-3(3t-4)+5+10t equation: 


Simplifying
2(4t + 6) + -3(2t + -3) = -3(3t + -4) + 5 + 10t

Reorder the terms:
2(6 + 4t) + -3(2t + -3) = -3(3t + -4) + 5 + 10t
(6 * 2 + 4t * 2) + -3(2t + -3) = -3(3t + -4) + 5 + 10t
(12 + 8t) + -3(2t + -3) = -3(3t + -4) + 5 + 10t

Reorder the terms:
12 + 8t + -3(-3 + 2t) = -3(3t + -4) + 5 + 10t
12 + 8t + (-3 * -3 + 2t * -3) = -3(3t + -4) + 5 + 10t
12 + 8t + (9 + -6t) = -3(3t + -4) + 5 + 10t

Reorder the terms:
12 + 9 + 8t + -6t = -3(3t + -4) + 5 + 10t

Combine like terms: 12 + 9 = 21
21 + 8t + -6t = -3(3t + -4) + 5 + 10t

Combine like terms: 8t + -6t = 2t
21 + 2t = -3(3t + -4) + 5 + 10t

Reorder the terms:
21 + 2t = -3(-4 + 3t) + 5 + 10t
21 + 2t = (-4 * -3 + 3t * -3) + 5 + 10t
21 + 2t = (12 + -9t) + 5 + 10t

Reorder the terms:
21 + 2t = 12 + 5 + -9t + 10t

Combine like terms: 12 + 5 = 17
21 + 2t = 17 + -9t + 10t

Combine like terms: -9t + 10t = 1t
21 + 2t = 17 + 1t

Solving
21 + 2t = 17 + 1t

Solving for variable 't'.

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

Add '-1t' to each side of the equation.
21 + 2t + -1t = 17 + 1t + -1t

Combine like terms: 2t + -1t = 1t
21 + 1t = 17 + 1t + -1t

Combine like terms: 1t + -1t = 0
21 + 1t = 17 + 0
21 + 1t = 17

Add '-21' to each side of the equation.
21 + -21 + 1t = 17 + -21

Combine like terms: 21 + -21 = 0
0 + 1t = 17 + -21
1t = 17 + -21

Combine like terms: 17 + -21 = -4
1t = -4

Divide each side by '1'.
t = -4

Simplifying
t = -4

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