8(5-q)=5(-2q)

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Solution for 8(5-q)=5(-2q) equation:


Simplifying
8(5 + -1q) = 5(-2q)
(5 * 8 + -1q * 8) = 5(-2q)
(40 + -8q) = 5(-2q)

Remove parenthesis around (-2q)
40 + -8q = 5 * -2q

Multiply 5 * -2
40 + -8q = -10q

Solving
40 + -8q = -10q

Solving for variable 'q'.

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

Add '10q' to each side of the equation.
40 + -8q + 10q = -10q + 10q

Combine like terms: -8q + 10q = 2q
40 + 2q = -10q + 10q

Combine like terms: -10q + 10q = 0
40 + 2q = 0

Add '-40' to each side of the equation.
40 + -40 + 2q = 0 + -40

Combine like terms: 40 + -40 = 0
0 + 2q = 0 + -40
2q = 0 + -40

Combine like terms: 0 + -40 = -40
2q = -40

Divide each side by '2'.
q = -20

Simplifying
q = -20

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