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Simplifying 1 + -1(q + 14) = 2q + 1 Reorder the terms: 1 + -1(14 + q) = 2q + 1 1 + (14 * -1 + q * -1) = 2q + 1 1 + (-14 + -1q) = 2q + 1 Combine like terms: 1 + -14 = -13 -13 + -1q = 2q + 1 Reorder the terms: -13 + -1q = 1 + 2q Solving -13 + -1q = 1 + 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. -13 + -1q + -2q = 1 + 2q + -2q Combine like terms: -1q + -2q = -3q -13 + -3q = 1 + 2q + -2q Combine like terms: 2q + -2q = 0 -13 + -3q = 1 + 0 -13 + -3q = 1 Add '13' to each side of the equation. -13 + 13 + -3q = 1 + 13 Combine like terms: -13 + 13 = 0 0 + -3q = 1 + 13 -3q = 1 + 13 Combine like terms: 1 + 13 = 14 -3q = 14 Divide each side by '-3'. q = -4.666666667 Simplifying q = -4.666666667
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