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Simplifying q + -1(14 + 2q) = 13 + (2q + -3) q + (14 * -1 + 2q * -1) = 13 + (2q + -3) q + (-14 + -2q) = 13 + (2q + -3) Reorder the terms: -14 + q + -2q = 13 + (2q + -3) Combine like terms: q + -2q = -1q -14 + -1q = 13 + (2q + -3) Reorder the terms: -14 + -1q = 13 + (-3 + 2q) Remove parenthesis around (-3 + 2q) -14 + -1q = 13 + -3 + 2q Combine like terms: 13 + -3 = 10 -14 + -1q = 10 + 2q Solving -14 + -1q = 10 + 2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2q' to each side of the equation. -14 + -1q + -2q = 10 + 2q + -2q Combine like terms: -1q + -2q = -3q -14 + -3q = 10 + 2q + -2q Combine like terms: 2q + -2q = 0 -14 + -3q = 10 + 0 -14 + -3q = 10 Add '14' to each side of the equation. -14 + 14 + -3q = 10 + 14 Combine like terms: -14 + 14 = 0 0 + -3q = 10 + 14 -3q = 10 + 14 Combine like terms: 10 + 14 = 24 -3q = 24 Divide each side by '-3'. q = -8 Simplifying q = -8
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