18(t-3)+36=7(3t+3)-9

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Solution for 18(t-3)+36=7(3t+3)-9 equation:


Simplifying
18(t + -3) + 36 = 7(3t + 3) + -9

Reorder the terms:
18(-3 + t) + 36 = 7(3t + 3) + -9
(-3 * 18 + t * 18) + 36 = 7(3t + 3) + -9
(-54 + 18t) + 36 = 7(3t + 3) + -9

Reorder the terms:
-54 + 36 + 18t = 7(3t + 3) + -9

Combine like terms: -54 + 36 = -18
-18 + 18t = 7(3t + 3) + -9

Reorder the terms:
-18 + 18t = 7(3 + 3t) + -9
-18 + 18t = (3 * 7 + 3t * 7) + -9
-18 + 18t = (21 + 21t) + -9

Reorder the terms:
-18 + 18t = 21 + -9 + 21t

Combine like terms: 21 + -9 = 12
-18 + 18t = 12 + 21t

Solving
-18 + 18t = 12 + 21t

Solving for variable 't'.

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

Add '-21t' to each side of the equation.
-18 + 18t + -21t = 12 + 21t + -21t

Combine like terms: 18t + -21t = -3t
-18 + -3t = 12 + 21t + -21t

Combine like terms: 21t + -21t = 0
-18 + -3t = 12 + 0
-18 + -3t = 12

Add '18' to each side of the equation.
-18 + 18 + -3t = 12 + 18

Combine like terms: -18 + 18 = 0
0 + -3t = 12 + 18
-3t = 12 + 18

Combine like terms: 12 + 18 = 30
-3t = 30

Divide each side by '-3'.
t = -10

Simplifying
t = -10

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