4(q-1)+3q=8(q-5)

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Solution for 4(q-1)+3q=8(q-5) equation:


Simplifying
4(q + -1) + 3q = 8(q + -5)

Reorder the terms:
4(-1 + q) + 3q = 8(q + -5)
(-1 * 4 + q * 4) + 3q = 8(q + -5)
(-4 + 4q) + 3q = 8(q + -5)

Combine like terms: 4q + 3q = 7q
-4 + 7q = 8(q + -5)

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

Solving
-4 + 7q = -40 + 8q

Solving for variable 'q'.

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

Add '-8q' to each side of the equation.
-4 + 7q + -8q = -40 + 8q + -8q

Combine like terms: 7q + -8q = -1q
-4 + -1q = -40 + 8q + -8q

Combine like terms: 8q + -8q = 0
-4 + -1q = -40 + 0
-4 + -1q = -40

Add '4' to each side of the equation.
-4 + 4 + -1q = -40 + 4

Combine like terms: -4 + 4 = 0
0 + -1q = -40 + 4
-1q = -40 + 4

Combine like terms: -40 + 4 = -36
-1q = -36

Divide each side by '-1'.
q = 36

Simplifying
q = 36

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