7(t-8)-5(4t-9)=-14(t-10-2)

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Solution for 7(t-8)-5(4t-9)=-14(t-10-2) equation:


Simplifying
7(t + -8) + -5(4t + -9) = -14(t + -10 + -2)

Reorder the terms:
7(-8 + t) + -5(4t + -9) = -14(t + -10 + -2)
(-8 * 7 + t * 7) + -5(4t + -9) = -14(t + -10 + -2)
(-56 + 7t) + -5(4t + -9) = -14(t + -10 + -2)

Reorder the terms:
-56 + 7t + -5(-9 + 4t) = -14(t + -10 + -2)
-56 + 7t + (-9 * -5 + 4t * -5) = -14(t + -10 + -2)
-56 + 7t + (45 + -20t) = -14(t + -10 + -2)

Reorder the terms:
-56 + 45 + 7t + -20t = -14(t + -10 + -2)

Combine like terms: -56 + 45 = -11
-11 + 7t + -20t = -14(t + -10 + -2)

Combine like terms: 7t + -20t = -13t
-11 + -13t = -14(t + -10 + -2)

Reorder the terms:
-11 + -13t = -14(-10 + -2 + t)

Combine like terms: -10 + -2 = -12
-11 + -13t = -14(-12 + t)
-11 + -13t = (-12 * -14 + t * -14)
-11 + -13t = (168 + -14t)

Solving
-11 + -13t = 168 + -14t

Solving for variable 't'.

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

Add '14t' to each side of the equation.
-11 + -13t + 14t = 168 + -14t + 14t

Combine like terms: -13t + 14t = 1t
-11 + 1t = 168 + -14t + 14t

Combine like terms: -14t + 14t = 0
-11 + 1t = 168 + 0
-11 + 1t = 168

Add '11' to each side of the equation.
-11 + 11 + 1t = 168 + 11

Combine like terms: -11 + 11 = 0
0 + 1t = 168 + 11
1t = 168 + 11

Combine like terms: 168 + 11 = 179
1t = 179

Divide each side by '1'.
t = 179

Simplifying
t = 179

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