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Simplifying 17 + -0.4(q + -10) = 0.6(5q + -10) Reorder the terms: 17 + -0.4(-10 + q) = 0.6(5q + -10) 17 + (-10 * -0.4 + q * -0.4) = 0.6(5q + -10) 17 + (4 + -0.4q) = 0.6(5q + -10) Combine like terms: 17 + 4 = 21 21 + -0.4q = 0.6(5q + -10) Reorder the terms: 21 + -0.4q = 0.6(-10 + 5q) 21 + -0.4q = (-10 * 0.6 + 5q * 0.6) 21 + -0.4q = (-6 + 3q) Solving 21 + -0.4q = -6 + 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. 21 + -0.4q + -3q = -6 + 3q + -3q Combine like terms: -0.4q + -3q = -3.4q 21 + -3.4q = -6 + 3q + -3q Combine like terms: 3q + -3q = 0 21 + -3.4q = -6 + 0 21 + -3.4q = -6 Add '-21' to each side of the equation. 21 + -21 + -3.4q = -6 + -21 Combine like terms: 21 + -21 = 0 0 + -3.4q = -6 + -21 -3.4q = -6 + -21 Combine like terms: -6 + -21 = -27 -3.4q = -27 Divide each side by '-3.4'. q = 7.941176471 Simplifying q = 7.941176471
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