-5(t+2)+9(-2t-3)=-24(t+3)+9

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Solution for -5(t+2)+9(-2t-3)=-24(t+3)+9 equation:


Simplifying
-5(t + 2) + 9(-2t + -3) = -24(t + 3) + 9

Reorder the terms:
-5(2 + t) + 9(-2t + -3) = -24(t + 3) + 9
(2 * -5 + t * -5) + 9(-2t + -3) = -24(t + 3) + 9
(-10 + -5t) + 9(-2t + -3) = -24(t + 3) + 9

Reorder the terms:
-10 + -5t + 9(-3 + -2t) = -24(t + 3) + 9
-10 + -5t + (-3 * 9 + -2t * 9) = -24(t + 3) + 9
-10 + -5t + (-27 + -18t) = -24(t + 3) + 9

Reorder the terms:
-10 + -27 + -5t + -18t = -24(t + 3) + 9

Combine like terms: -10 + -27 = -37
-37 + -5t + -18t = -24(t + 3) + 9

Combine like terms: -5t + -18t = -23t
-37 + -23t = -24(t + 3) + 9

Reorder the terms:
-37 + -23t = -24(3 + t) + 9
-37 + -23t = (3 * -24 + t * -24) + 9
-37 + -23t = (-72 + -24t) + 9

Reorder the terms:
-37 + -23t = -72 + 9 + -24t

Combine like terms: -72 + 9 = -63
-37 + -23t = -63 + -24t

Solving
-37 + -23t = -63 + -24t

Solving for variable 't'.

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

Add '24t' to each side of the equation.
-37 + -23t + 24t = -63 + -24t + 24t

Combine like terms: -23t + 24t = 1t
-37 + 1t = -63 + -24t + 24t

Combine like terms: -24t + 24t = 0
-37 + 1t = -63 + 0
-37 + 1t = -63

Add '37' to each side of the equation.
-37 + 37 + 1t = -63 + 37

Combine like terms: -37 + 37 = 0
0 + 1t = -63 + 37
1t = -63 + 37

Combine like terms: -63 + 37 = -26
1t = -26

Divide each side by '1'.
t = -26

Simplifying
t = -26

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