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Simplifying 29 + -1(4q + 10) = 4q + 18 Reorder the terms: 29 + -1(10 + 4q) = 4q + 18 29 + (10 * -1 + 4q * -1) = 4q + 18 29 + (-10 + -4q) = 4q + 18 Combine like terms: 29 + -10 = 19 19 + -4q = 4q + 18 Reorder the terms: 19 + -4q = 18 + 4q Solving 19 + -4q = 18 + 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. 19 + -4q + -4q = 18 + 4q + -4q Combine like terms: -4q + -4q = -8q 19 + -8q = 18 + 4q + -4q Combine like terms: 4q + -4q = 0 19 + -8q = 18 + 0 19 + -8q = 18 Add '-19' to each side of the equation. 19 + -19 + -8q = 18 + -19 Combine like terms: 19 + -19 = 0 0 + -8q = 18 + -19 -8q = 18 + -19 Combine like terms: 18 + -19 = -1 -8q = -1 Divide each side by '-8'. q = 0.125 Simplifying q = 0.125
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