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Simplifying -3(19q + -10) = -6(-6 + 9q) Reorder the terms: -3(-10 + 19q) = -6(-6 + 9q) (-10 * -3 + 19q * -3) = -6(-6 + 9q) (30 + -57q) = -6(-6 + 9q) 30 + -57q = (-6 * -6 + 9q * -6) 30 + -57q = (36 + -54q) Solving 30 + -57q = 36 + -54q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '54q' to each side of the equation. 30 + -57q + 54q = 36 + -54q + 54q Combine like terms: -57q + 54q = -3q 30 + -3q = 36 + -54q + 54q Combine like terms: -54q + 54q = 0 30 + -3q = 36 + 0 30 + -3q = 36 Add '-30' to each side of the equation. 30 + -30 + -3q = 36 + -30 Combine like terms: 30 + -30 = 0 0 + -3q = 36 + -30 -3q = 36 + -30 Combine like terms: 36 + -30 = 6 -3q = 6 Divide each side by '-3'. q = -2 Simplifying q = -2
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