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Simplifying 8(7 + -3q) = (-17q) (7 * 8 + -3q * 8) = (-17q) (56 + -24q) = (-17q) Solving 56 + -24q = (-17q) Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '(17q)' to each side of the equation. 56 + -24q + (17q) = (-17q) + (17q) Combine like terms: -24q + (17q) = -7q 56 + -7q = (-17q) + (17q) Combine like terms: (-17q) + (17q) = 0 56 + -7q = 0 Add '-56' to each side of the equation. 56 + -56 + -7q = 0 + -56 Combine like terms: 56 + -56 = 0 0 + -7q = 0 + -56 -7q = 0 + -56 Combine like terms: 0 + -56 = -56 -7q = -56 Divide each side by '-7'. q = 8 Simplifying q = 8
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