9(3-t)+7=-7(t-4)-2

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Solution for 9(3-t)+7=-7(t-4)-2 equation: 


Simplifying
9(3 + -1t) + 7 = -7(t + -4) + -2
(3 * 9 + -1t * 9) + 7 = -7(t + -4) + -2
(27 + -9t) + 7 = -7(t + -4) + -2

Reorder the terms:
27 + 7 + -9t = -7(t + -4) + -2

Combine like terms: 27 + 7 = 34
34 + -9t = -7(t + -4) + -2

Reorder the terms:
34 + -9t = -7(-4 + t) + -2
34 + -9t = (-4 * -7 + t * -7) + -2
34 + -9t = (28 + -7t) + -2

Reorder the terms:
34 + -9t = 28 + -2 + -7t

Combine like terms: 28 + -2 = 26
34 + -9t = 26 + -7t

Solving
34 + -9t = 26 + -7t

Solving for variable 't'.

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

Add '7t' to each side of the equation.
34 + -9t + 7t = 26 + -7t + 7t

Combine like terms: -9t + 7t = -2t
34 + -2t = 26 + -7t + 7t

Combine like terms: -7t + 7t = 0
34 + -2t = 26 + 0
34 + -2t = 26

Add '-34' to each side of the equation.
34 + -34 + -2t = 26 + -34

Combine like terms: 34 + -34 = 0
0 + -2t = 26 + -34
-2t = 26 + -34

Combine like terms: 26 + -34 = -8
-2t = -8

Divide each side by '-2'.
t = 4

Simplifying
t = 4

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