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Simplifying 5(4 + 3q) + -6(7 + -1q) = -5(3 + 2q) (4 * 5 + 3q * 5) + -6(7 + -1q) = -5(3 + 2q) (20 + 15q) + -6(7 + -1q) = -5(3 + 2q) 20 + 15q + (7 * -6 + -1q * -6) = -5(3 + 2q) 20 + 15q + (-42 + 6q) = -5(3 + 2q) Reorder the terms: 20 + -42 + 15q + 6q = -5(3 + 2q) Combine like terms: 20 + -42 = -22 -22 + 15q + 6q = -5(3 + 2q) Combine like terms: 15q + 6q = 21q -22 + 21q = -5(3 + 2q) -22 + 21q = (3 * -5 + 2q * -5) -22 + 21q = (-15 + -10q) Solving -22 + 21q = -15 + -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. -22 + 21q + 10q = -15 + -10q + 10q Combine like terms: 21q + 10q = 31q -22 + 31q = -15 + -10q + 10q Combine like terms: -10q + 10q = 0 -22 + 31q = -15 + 0 -22 + 31q = -15 Add '22' to each side of the equation. -22 + 22 + 31q = -15 + 22 Combine like terms: -22 + 22 = 0 0 + 31q = -15 + 22 31q = -15 + 22 Combine like terms: -15 + 22 = 7 31q = 7 Divide each side by '31'. q = 0.2258064516 Simplifying q = 0.2258064516
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