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

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


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

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

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

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

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

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

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

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

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

Solving
21 + 2t = 17 + 10r + -9t

Solving for variable 't'.

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

Add '9t' to each side of the equation.
21 + 2t + 9t = 17 + 10r + -9t + 9t

Combine like terms: 2t + 9t = 11t
21 + 11t = 17 + 10r + -9t + 9t

Combine like terms: -9t + 9t = 0
21 + 11t = 17 + 10r + 0
21 + 11t = 17 + 10r

Add '-21' to each side of the equation.
21 + -21 + 11t = 17 + -21 + 10r

Combine like terms: 21 + -21 = 0
0 + 11t = 17 + -21 + 10r
11t = 17 + -21 + 10r

Combine like terms: 17 + -21 = -4
11t = -4 + 10r

Divide each side by '11'.
t = -0.3636363636 + 0.9090909091r

Simplifying
t = -0.3636363636 + 0.9090909091r

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