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Simplifying -2(2q + -4) = -7(q + -2) + -24 Reorder the terms: -2(-4 + 2q) = -7(q + -2) + -24 (-4 * -2 + 2q * -2) = -7(q + -2) + -24 (8 + -4q) = -7(q + -2) + -24 Reorder the terms: 8 + -4q = -7(-2 + q) + -24 8 + -4q = (-2 * -7 + q * -7) + -24 8 + -4q = (14 + -7q) + -24 Reorder the terms: 8 + -4q = 14 + -24 + -7q Combine like terms: 14 + -24 = -10 8 + -4q = -10 + -7q Solving 8 + -4q = -10 + -7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '7q' to each side of the equation. 8 + -4q + 7q = -10 + -7q + 7q Combine like terms: -4q + 7q = 3q 8 + 3q = -10 + -7q + 7q Combine like terms: -7q + 7q = 0 8 + 3q = -10 + 0 8 + 3q = -10 Add '-8' to each side of the equation. 8 + -8 + 3q = -10 + -8 Combine like terms: 8 + -8 = 0 0 + 3q = -10 + -8 3q = -10 + -8 Combine like terms: -10 + -8 = -18 3q = -18 Divide each side by '3'. q = -6 Simplifying q = -6
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