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Simplifying -15 = 5(3 * 3.5q + -10) + -5 * 3.5 Multiply 3 * 3.5 -15 = 5(10.5q + -10) + -5 * 3.5 Reorder the terms: -15 = 5(-10 + 10.5q) + -5 * 3.5 -15 = (-10 * 5 + 10.5q * 5) + -5 * 3.5 -15 = (-50 + 52.5q) + -5 * 3.5 Multiply -5 * 3.5 -15 = -50 + 52.5q + -17.5 Reorder the terms: -15 = -50 + -17.5 + 52.5q Combine like terms: -50 + -17.5 = -67.5 -15 = -67.5 + 52.5q Solving -15 = -67.5 + 52.5q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-52.5q' to each side of the equation. -15 + -52.5q = -67.5 + 52.5q + -52.5q Combine like terms: 52.5q + -52.5q = 0.0 -15 + -52.5q = -67.5 + 0.0 -15 + -52.5q = -67.5 Add '15' to each side of the equation. -15 + 15 + -52.5q = -67.5 + 15 Combine like terms: -15 + 15 = 0 0 + -52.5q = -67.5 + 15 -52.5q = -67.5 + 15 Combine like terms: -67.5 + 15 = -52.5 -52.5q = -52.5 Divide each side by '-52.5'. q = 1 Simplifying q = 1
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