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Simplifying 10q + 5q + 3 + -15 = 6p + 3q + -4 Reorder the terms: 3 + -15 + 10q + 5q = 6p + 3q + -4 Combine like terms: 3 + -15 = -12 -12 + 10q + 5q = 6p + 3q + -4 Combine like terms: 10q + 5q = 15q -12 + 15q = 6p + 3q + -4 Reorder the terms: -12 + 15q = -4 + 6p + 3q Solving -12 + 15q = -4 + 6p + 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. -12 + 15q + -3q = -4 + 6p + 3q + -3q Combine like terms: 15q + -3q = 12q -12 + 12q = -4 + 6p + 3q + -3q Combine like terms: 3q + -3q = 0 -12 + 12q = -4 + 6p + 0 -12 + 12q = -4 + 6p Add '12' to each side of the equation. -12 + 12 + 12q = -4 + 12 + 6p Combine like terms: -12 + 12 = 0 0 + 12q = -4 + 12 + 6p 12q = -4 + 12 + 6p Combine like terms: -4 + 12 = 8 12q = 8 + 6p Divide each side by '12'. q = 0.6666666667 + 0.5p Simplifying q = 0.6666666667 + 0.5p
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