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Simplifying -5.2q + -1(1.7q + 7.9) = -12.8 Reorder the terms: -5.2q + -1(7.9 + 1.7q) = -12.8 -5.2q + (7.9 * -1 + 1.7q * -1) = -12.8 -5.2q + (-7.9 + -1.7q) = -12.8 Reorder the terms: -7.9 + -5.2q + -1.7q = -12.8 Combine like terms: -5.2q + -1.7q = -6.9q -7.9 + -6.9q = -12.8 Solving -7.9 + -6.9q = -12.8 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '7.9' to each side of the equation. -7.9 + 7.9 + -6.9q = -12.8 + 7.9 Combine like terms: -7.9 + 7.9 = 0.0 0.0 + -6.9q = -12.8 + 7.9 -6.9q = -12.8 + 7.9 Combine like terms: -12.8 + 7.9 = -4.9 -6.9q = -4.9 Divide each side by '-6.9'. q = 0.7101449275 Simplifying q = 0.7101449275
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