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Simplifying 1 + 10(q + -3) = -20 + -1(9 + -4q) Reorder the terms: 1 + 10(-3 + q) = -20 + -1(9 + -4q) 1 + (-3 * 10 + q * 10) = -20 + -1(9 + -4q) 1 + (-30 + 10q) = -20 + -1(9 + -4q) Combine like terms: 1 + -30 = -29 -29 + 10q = -20 + -1(9 + -4q) -29 + 10q = -20 + (9 * -1 + -4q * -1) -29 + 10q = -20 + (-9 + 4q) Combine like terms: -20 + -9 = -29 -29 + 10q = -29 + 4q Add '29' to each side of the equation. -29 + 29 + 10q = -29 + 29 + 4q Combine like terms: -29 + 29 = 0 0 + 10q = -29 + 29 + 4q 10q = -29 + 29 + 4q Combine like terms: -29 + 29 = 0 10q = 0 + 4q 10q = 4q Solving 10q = 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. 10q + -4q = 4q + -4q Combine like terms: 10q + -4q = 6q 6q = 4q + -4q Combine like terms: 4q + -4q = 0 6q = 0 Divide each side by '6'. q = 0 Simplifying q = 0
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