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Simplifying -0.5(4 + -9q) = -1 + 6.500q (4 * -0.5 + -9q * -0.5) = -1 + 6.500q (-2 + 4.5q) = -1 + 6.500q Solving -2 + 4.5q = -1 + 6.500q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-6.500q' to each side of the equation. -2 + 4.5q + -6.500q = -1 + 6.500q + -6.500q Combine like terms: 4.5q + -6.500q = -2q -2 + -2q = -1 + 6.500q + -6.500q Combine like terms: 6.500q + -6.500q = 0.000 -2 + -2q = -1 + 0.000 -2 + -2q = -1 Add '2' to each side of the equation. -2 + 2 + -2q = -1 + 2 Combine like terms: -2 + 2 = 0 0 + -2q = -1 + 2 -2q = -1 + 2 Combine like terms: -1 + 2 = 1 -2q = 1 Divide each side by '-2'. q = -0.5 Simplifying q = -0.5
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