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Simplifying -8 = 4(q + -5) + 2q Reorder the terms: -8 = 4(-5 + q) + 2q -8 = (-5 * 4 + q * 4) + 2q -8 = (-20 + 4q) + 2q Combine like terms: 4q + 2q = 6q -8 = -20 + 6q Solving -8 = -20 + 6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-6q' to each side of the equation. -8 + -6q = -20 + 6q + -6q Combine like terms: 6q + -6q = 0 -8 + -6q = -20 + 0 -8 + -6q = -20 Add '8' to each side of the equation. -8 + 8 + -6q = -20 + 8 Combine like terms: -8 + 8 = 0 0 + -6q = -20 + 8 -6q = -20 + 8 Combine like terms: -20 + 8 = -12 -6q = -12 Divide each side by '-6'. q = 2 Simplifying q = 2
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