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Simplifying -15 = 15(3q + -10) + -5q Reorder the terms: -15 = 15(-10 + 3q) + -5q -15 = (-10 * 15 + 3q * 15) + -5q -15 = (-150 + 45q) + -5q Combine like terms: 45q + -5q = 40q -15 = -150 + 40q Solving -15 = -150 + 40q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-40q' to each side of the equation. -15 + -40q = -150 + 40q + -40q Combine like terms: 40q + -40q = 0 -15 + -40q = -150 + 0 -15 + -40q = -150 Add '15' to each side of the equation. -15 + 15 + -40q = -150 + 15 Combine like terms: -15 + 15 = 0 0 + -40q = -150 + 15 -40q = -150 + 15 Combine like terms: -150 + 15 = -135 -40q = -135 Divide each side by '-40'. q = 3.375 Simplifying q = 3.375
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