8(4q-5)-7q=5(6q-9)

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Solution for 8(4q-5)-7q=5(6q-9) equation:


Simplifying
8(4q + -5) + -7q = 5(6q + -9)

Reorder the terms:
8(-5 + 4q) + -7q = 5(6q + -9)
(-5 * 8 + 4q * 8) + -7q = 5(6q + -9)
(-40 + 32q) + -7q = 5(6q + -9)

Combine like terms: 32q + -7q = 25q
-40 + 25q = 5(6q + -9)

Reorder the terms:
-40 + 25q = 5(-9 + 6q)
-40 + 25q = (-9 * 5 + 6q * 5)
-40 + 25q = (-45 + 30q)

Solving
-40 + 25q = -45 + 30q

Solving for variable 'q'.

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

Add '-30q' to each side of the equation.
-40 + 25q + -30q = -45 + 30q + -30q

Combine like terms: 25q + -30q = -5q
-40 + -5q = -45 + 30q + -30q

Combine like terms: 30q + -30q = 0
-40 + -5q = -45 + 0
-40 + -5q = -45

Add '40' to each side of the equation.
-40 + 40 + -5q = -45 + 40

Combine like terms: -40 + 40 = 0
0 + -5q = -45 + 40
-5q = -45 + 40

Combine like terms: -45 + 40 = -5
-5q = -5

Divide each side by '-5'.
q = 1

Simplifying
q = 1

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