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Simplifying 4(q + -8) = 7q + 5 Reorder the terms: 4(-8 + q) = 7q + 5 (-8 * 4 + q * 4) = 7q + 5 (-32 + 4q) = 7q + 5 Reorder the terms: -32 + 4q = 5 + 7q Solving -32 + 4q = 5 + 7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-7q' to each side of the equation. -32 + 4q + -7q = 5 + 7q + -7q Combine like terms: 4q + -7q = -3q -32 + -3q = 5 + 7q + -7q Combine like terms: 7q + -7q = 0 -32 + -3q = 5 + 0 -32 + -3q = 5 Add '32' to each side of the equation. -32 + 32 + -3q = 5 + 32 Combine like terms: -32 + 32 = 0 0 + -3q = 5 + 32 -3q = 5 + 32 Combine like terms: 5 + 32 = 37 -3q = 37 Divide each side by '-3'. q = -12.33333333 Simplifying q = -12.33333333
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