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Simplifying 10(q + -5) = 4(q + 10) Reorder the terms: 10(-5 + q) = 4(q + 10) (-5 * 10 + q * 10) = 4(q + 10) (-50 + 10q) = 4(q + 10) Reorder the terms: -50 + 10q = 4(10 + q) -50 + 10q = (10 * 4 + q * 4) -50 + 10q = (40 + 4q) Solving -50 + 10q = 40 + 4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4q' to each side of the equation. -50 + 10q + -4q = 40 + 4q + -4q Combine like terms: 10q + -4q = 6q -50 + 6q = 40 + 4q + -4q Combine like terms: 4q + -4q = 0 -50 + 6q = 40 + 0 -50 + 6q = 40 Add '50' to each side of the equation. -50 + 50 + 6q = 40 + 50 Combine like terms: -50 + 50 = 0 0 + 6q = 40 + 50 6q = 40 + 50 Combine like terms: 40 + 50 = 90 6q = 90 Divide each side by '6'. q = 15 Simplifying q = 15
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