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Simplifying -5 + 16q + -16 = 9(2q + 3) + -14 Reorder the terms: -5 + -16 + 16q = 9(2q + 3) + -14 Combine like terms: -5 + -16 = -21 -21 + 16q = 9(2q + 3) + -14 Reorder the terms: -21 + 16q = 9(3 + 2q) + -14 -21 + 16q = (3 * 9 + 2q * 9) + -14 -21 + 16q = (27 + 18q) + -14 Reorder the terms: -21 + 16q = 27 + -14 + 18q Combine like terms: 27 + -14 = 13 -21 + 16q = 13 + 18q Solving -21 + 16q = 13 + 18q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-18q' to each side of the equation. -21 + 16q + -18q = 13 + 18q + -18q Combine like terms: 16q + -18q = -2q -21 + -2q = 13 + 18q + -18q Combine like terms: 18q + -18q = 0 -21 + -2q = 13 + 0 -21 + -2q = 13 Add '21' to each side of the equation. -21 + 21 + -2q = 13 + 21 Combine like terms: -21 + 21 = 0 0 + -2q = 13 + 21 -2q = 13 + 21 Combine like terms: 13 + 21 = 34 -2q = 34 Divide each side by '-2'. q = -17 Simplifying q = -17
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