9(t-3)+4t-4=7(t-1)

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Solution for 9(t-3)+4t-4=7(t-1) equation:


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

Reorder the terms:
9(-3 + t) + 4t + -4 = 7(t + -1)
(-3 * 9 + t * 9) + 4t + -4 = 7(t + -1)
(-27 + 9t) + 4t + -4 = 7(t + -1)

Reorder the terms:
-27 + -4 + 9t + 4t = 7(t + -1)

Combine like terms: -27 + -4 = -31
-31 + 9t + 4t = 7(t + -1)

Combine like terms: 9t + 4t = 13t
-31 + 13t = 7(t + -1)

Reorder the terms:
-31 + 13t = 7(-1 + t)
-31 + 13t = (-1 * 7 + t * 7)
-31 + 13t = (-7 + 7t)

Solving
-31 + 13t = -7 + 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.
-31 + 13t + -7t = -7 + 7t + -7t

Combine like terms: 13t + -7t = 6t
-31 + 6t = -7 + 7t + -7t

Combine like terms: 7t + -7t = 0
-31 + 6t = -7 + 0
-31 + 6t = -7

Add '31' to each side of the equation.
-31 + 31 + 6t = -7 + 31

Combine like terms: -31 + 31 = 0
0 + 6t = -7 + 31
6t = -7 + 31

Combine like terms: -7 + 31 = 24
6t = 24

Divide each side by '6'.
t = 4

Simplifying
t = 4

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