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Simplifying -15 = 6(3q + -10) + -5q Reorder the terms: -15 = 6(-10 + 3q) + -5q -15 = (-10 * 6 + 3q * 6) + -5q -15 = (-60 + 18q) + -5q Combine like terms: 18q + -5q = 13q -15 = -60 + 13q Solving -15 = -60 + 13q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-13q' to each side of the equation. -15 + -13q = -60 + 13q + -13q Combine like terms: 13q + -13q = 0 -15 + -13q = -60 + 0 -15 + -13q = -60 Add '15' to each side of the equation. -15 + 15 + -13q = -60 + 15 Combine like terms: -15 + 15 = 0 0 + -13q = -60 + 15 -13q = -60 + 15 Combine like terms: -60 + 15 = -45 -13q = -45 Divide each side by '-13'. q = 3.461538462 Simplifying q = 3.461538462
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