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Simplifying (3q + 5r + -3) + -1(5q + 15) = 0 Reorder the terms: (-3 + 3q + 5r) + -1(5q + 15) = 0 Remove parenthesis around (-3 + 3q + 5r) -3 + 3q + 5r + -1(5q + 15) = 0 Reorder the terms: -3 + 3q + 5r + -1(15 + 5q) = 0 -3 + 3q + 5r + (15 * -1 + 5q * -1) = 0 -3 + 3q + 5r + (-15 + -5q) = 0 Reorder the terms: -3 + -15 + 3q + -5q + 5r = 0 Combine like terms: -3 + -15 = -18 -18 + 3q + -5q + 5r = 0 Combine like terms: 3q + -5q = -2q -18 + -2q + 5r = 0 Solving -18 + -2q + 5r = 0 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '18' to each side of the equation. -18 + -2q + 18 + 5r = 0 + 18 Reorder the terms: -18 + 18 + -2q + 5r = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -2q + 5r = 0 + 18 -2q + 5r = 0 + 18 Combine like terms: 0 + 18 = 18 -2q + 5r = 18 Add '-5r' to each side of the equation. -2q + 5r + -5r = 18 + -5r Combine like terms: 5r + -5r = 0 -2q + 0 = 18 + -5r -2q = 18 + -5r Divide each side by '-2'. q = -9 + 2.5r Simplifying q = -9 + 2.5r
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