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Simplifying 0.5q + -7 = -15 + 2q Reorder the terms: -7 + 0.5q = -15 + 2q Solving -7 + 0.5q = -15 + 2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2q' to each side of the equation. -7 + 0.5q + -2q = -15 + 2q + -2q Combine like terms: 0.5q + -2q = -1.5q -7 + -1.5q = -15 + 2q + -2q Combine like terms: 2q + -2q = 0 -7 + -1.5q = -15 + 0 -7 + -1.5q = -15 Add '7' to each side of the equation. -7 + 7 + -1.5q = -15 + 7 Combine like terms: -7 + 7 = 0 0 + -1.5q = -15 + 7 -1.5q = -15 + 7 Combine like terms: -15 + 7 = -8 -1.5q = -8 Divide each side by '-1.5'. q = 5.333333333 Simplifying q = 5.333333333
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