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Simplifying -3(-14q + -19) + -15q = -16 + -8 + 18q Reorder the terms: -3(-19 + -14q) + -15q = -16 + -8 + 18q (-19 * -3 + -14q * -3) + -15q = -16 + -8 + 18q (57 + 42q) + -15q = -16 + -8 + 18q Combine like terms: 42q + -15q = 27q 57 + 27q = -16 + -8 + 18q Combine like terms: -16 + -8 = -24 57 + 27q = -24 + 18q Solving 57 + 27q = -24 + 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. 57 + 27q + -18q = -24 + 18q + -18q Combine like terms: 27q + -18q = 9q 57 + 9q = -24 + 18q + -18q Combine like terms: 18q + -18q = 0 57 + 9q = -24 + 0 57 + 9q = -24 Add '-57' to each side of the equation. 57 + -57 + 9q = -24 + -57 Combine like terms: 57 + -57 = 0 0 + 9q = -24 + -57 9q = -24 + -57 Combine like terms: -24 + -57 = -81 9q = -81 Divide each side by '9'. q = -9 Simplifying q = -9
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