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Simplifying 1 = 7 + -2(4q + 3) Reorder the terms: 1 = 7 + -2(3 + 4q) 1 = 7 + (3 * -2 + 4q * -2) 1 = 7 + (-6 + -8q) Combine like terms: 7 + -6 = 1 1 = 1 + -8q Add '-1' to each side of the equation. 1 + -1 = 1 + -1 + -8q Combine like terms: 1 + -1 = 0 0 = 1 + -1 + -8q Combine like terms: 1 + -1 = 0 0 = 0 + -8q 0 = -8q Solving 0 = -8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '8q' to each side of the equation. 0 + 8q = -8q + 8q Remove the zero: 8q = -8q + 8q Combine like terms: -8q + 8q = 0 8q = 0 Divide each side by '8'. q = 0 Simplifying q = 0
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