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Simplifying -15 = 4(3q + -10) + -5q Reorder the terms: -15 = 4(-10 + 3q) + -5q -15 = (-10 * 4 + 3q * 4) + -5q -15 = (-40 + 12q) + -5q Combine like terms: 12q + -5q = 7q -15 = -40 + 7q Solving -15 = -40 + 7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-7q' to each side of the equation. -15 + -7q = -40 + 7q + -7q Combine like terms: 7q + -7q = 0 -15 + -7q = -40 + 0 -15 + -7q = -40 Add '15' to each side of the equation. -15 + 15 + -7q = -40 + 15 Combine like terms: -15 + 15 = 0 0 + -7q = -40 + 15 -7q = -40 + 15 Combine like terms: -40 + 15 = -25 -7q = -25 Divide each side by '-7'. q = 3.571428571 Simplifying q = 3.571428571
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