17(t-3)+4=7(3t+3)-12

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Solution for 17(t-3)+4=7(3t+3)-12 equation:


Simplifying
17(t + -3) + 4 = 7(3t + 3) + -12

Reorder the terms:
17(-3 + t) + 4 = 7(3t + 3) + -12
(-3 * 17 + t * 17) + 4 = 7(3t + 3) + -12
(-51 + 17t) + 4 = 7(3t + 3) + -12

Reorder the terms:
-51 + 4 + 17t = 7(3t + 3) + -12

Combine like terms: -51 + 4 = -47
-47 + 17t = 7(3t + 3) + -12

Reorder the terms:
-47 + 17t = 7(3 + 3t) + -12
-47 + 17t = (3 * 7 + 3t * 7) + -12
-47 + 17t = (21 + 21t) + -12

Reorder the terms:
-47 + 17t = 21 + -12 + 21t

Combine like terms: 21 + -12 = 9
-47 + 17t = 9 + 21t

Solving
-47 + 17t = 9 + 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.
-47 + 17t + -21t = 9 + 21t + -21t

Combine like terms: 17t + -21t = -4t
-47 + -4t = 9 + 21t + -21t

Combine like terms: 21t + -21t = 0
-47 + -4t = 9 + 0
-47 + -4t = 9

Add '47' to each side of the equation.
-47 + 47 + -4t = 9 + 47

Combine like terms: -47 + 47 = 0
0 + -4t = 9 + 47
-4t = 9 + 47

Combine like terms: 9 + 47 = 56
-4t = 56

Divide each side by '-4'.
t = -14

Simplifying
t = -14

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