7(4-t)+3=-3(t-3)-6

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Solution for 7(4-t)+3=-3(t-3)-6 equation: 


Simplifying
7(4 + -1t) + 3 = -3(t + -3) + -6
(4 * 7 + -1t * 7) + 3 = -3(t + -3) + -6
(28 + -7t) + 3 = -3(t + -3) + -6

Reorder the terms:
28 + 3 + -7t = -3(t + -3) + -6

Combine like terms: 28 + 3 = 31
31 + -7t = -3(t + -3) + -6

Reorder the terms:
31 + -7t = -3(-3 + t) + -6
31 + -7t = (-3 * -3 + t * -3) + -6
31 + -7t = (9 + -3t) + -6

Reorder the terms:
31 + -7t = 9 + -6 + -3t

Combine like terms: 9 + -6 = 3
31 + -7t = 3 + -3t

Solving
31 + -7t = 3 + -3t

Solving for variable 't'.

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

Add '3t' to each side of the equation.
31 + -7t + 3t = 3 + -3t + 3t

Combine like terms: -7t + 3t = -4t
31 + -4t = 3 + -3t + 3t

Combine like terms: -3t + 3t = 0
31 + -4t = 3 + 0
31 + -4t = 3

Add '-31' to each side of the equation.
31 + -31 + -4t = 3 + -31

Combine like terms: 31 + -31 = 0
0 + -4t = 3 + -31
-4t = 3 + -31

Combine like terms: 3 + -31 = -28
-4t = -28

Divide each side by '-4'.
t = 7

Simplifying
t = 7

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