-7+8(5-8q)=3(7-9q)

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Solution for -7+8(5-8q)=3(7-9q) equation:


Simplifying
-7 + 8(5 + -8q) = 3(7 + -9q)
-7 + (5 * 8 + -8q * 8) = 3(7 + -9q)
-7 + (40 + -64q) = 3(7 + -9q)

Combine like terms: -7 + 40 = 33
33 + -64q = 3(7 + -9q)
33 + -64q = (7 * 3 + -9q * 3)
33 + -64q = (21 + -27q)

Solving
33 + -64q = 21 + -27q

Solving for variable 'q'.

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

Add '27q' to each side of the equation.
33 + -64q + 27q = 21 + -27q + 27q

Combine like terms: -64q + 27q = -37q
33 + -37q = 21 + -27q + 27q

Combine like terms: -27q + 27q = 0
33 + -37q = 21 + 0
33 + -37q = 21

Add '-33' to each side of the equation.
33 + -33 + -37q = 21 + -33

Combine like terms: 33 + -33 = 0
0 + -37q = 21 + -33
-37q = 21 + -33

Combine like terms: 21 + -33 = -12
-37q = -12

Divide each side by '-37'.
q = 0.3243243243

Simplifying
q = 0.3243243243

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