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Simplifying 19 + -16 + 19q = -6(-3q + -5) + -14 Combine like terms: 19 + -16 = 3 3 + 19q = -6(-3q + -5) + -14 Reorder the terms: 3 + 19q = -6(-5 + -3q) + -14 3 + 19q = (-5 * -6 + -3q * -6) + -14 3 + 19q = (30 + 18q) + -14 Reorder the terms: 3 + 19q = 30 + -14 + 18q Combine like terms: 30 + -14 = 16 3 + 19q = 16 + 18q Solving 3 + 19q = 16 + 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. 3 + 19q + -18q = 16 + 18q + -18q Combine like terms: 19q + -18q = 1q 3 + 1q = 16 + 18q + -18q Combine like terms: 18q + -18q = 0 3 + 1q = 16 + 0 3 + 1q = 16 Add '-3' to each side of the equation. 3 + -3 + 1q = 16 + -3 Combine like terms: 3 + -3 = 0 0 + 1q = 16 + -3 1q = 16 + -3 Combine like terms: 16 + -3 = 13 1q = 13 Divide each side by '1'. q = 13 Simplifying q = 13
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