8(3t+4)+7(2t-3)=

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Solution for 8(3t+4)+7(2t-3)= equation:


Simplifying
8(3t + 4) + 7(2t + -3) = 0

Reorder the terms:
8(4 + 3t) + 7(2t + -3) = 0
(4 * 8 + 3t * 8) + 7(2t + -3) = 0
(32 + 24t) + 7(2t + -3) = 0

Reorder the terms:
32 + 24t + 7(-3 + 2t) = 0
32 + 24t + (-3 * 7 + 2t * 7) = 0
32 + 24t + (-21 + 14t) = 0

Reorder the terms:
32 + -21 + 24t + 14t = 0

Combine like terms: 32 + -21 = 11
11 + 24t + 14t = 0

Combine like terms: 24t + 14t = 38t
11 + 38t = 0

Solving
11 + 38t = 0

Solving for variable 't'.

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

Add '-11' to each side of the equation.
11 + -11 + 38t = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 38t = 0 + -11
38t = 0 + -11

Combine like terms: 0 + -11 = -11
38t = -11

Divide each side by '38'.
t = -0.2894736842

Simplifying
t = -0.2894736842

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