27-3(t+4)=9(t-2)-15

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Solution for 27-3(t+4)=9(t-2)-15 equation: 


Simplifying
27 + -3(t + 4) = 9(t + -2) + -15

Reorder the terms:
27 + -3(4 + t) = 9(t + -2) + -15
27 + (4 * -3 + t * -3) = 9(t + -2) + -15
27 + (-12 + -3t) = 9(t + -2) + -15

Combine like terms: 27 + -12 = 15
15 + -3t = 9(t + -2) + -15

Reorder the terms:
15 + -3t = 9(-2 + t) + -15
15 + -3t = (-2 * 9 + t * 9) + -15
15 + -3t = (-18 + 9t) + -15

Reorder the terms:
15 + -3t = -18 + -15 + 9t

Combine like terms: -18 + -15 = -33
15 + -3t = -33 + 9t

Solving
15 + -3t = -33 + 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.
15 + -3t + -9t = -33 + 9t + -9t

Combine like terms: -3t + -9t = -12t
15 + -12t = -33 + 9t + -9t

Combine like terms: 9t + -9t = 0
15 + -12t = -33 + 0
15 + -12t = -33

Add '-15' to each side of the equation.
15 + -15 + -12t = -33 + -15

Combine like terms: 15 + -15 = 0
0 + -12t = -33 + -15
-12t = -33 + -15

Combine like terms: -33 + -15 = -48
-12t = -48

Divide each side by '-12'.
t = 4

Simplifying
t = 4

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