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Simplifying -3(5r + 5) = -5 + 5(19r + 18) Reorder the terms: -3(5 + 5r) = -5 + 5(19r + 18) (5 * -3 + 5r * -3) = -5 + 5(19r + 18) (-15 + -15r) = -5 + 5(19r + 18) Reorder the terms: -15 + -15r = -5 + 5(18 + 19r) -15 + -15r = -5 + (18 * 5 + 19r * 5) -15 + -15r = -5 + (90 + 95r) Combine like terms: -5 + 90 = 85 -15 + -15r = 85 + 95r Solving -15 + -15r = 85 + 95r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-95r' to each side of the equation. -15 + -15r + -95r = 85 + 95r + -95r Combine like terms: -15r + -95r = -110r -15 + -110r = 85 + 95r + -95r Combine like terms: 95r + -95r = 0 -15 + -110r = 85 + 0 -15 + -110r = 85 Add '15' to each side of the equation. -15 + 15 + -110r = 85 + 15 Combine like terms: -15 + 15 = 0 0 + -110r = 85 + 15 -110r = 85 + 15 Combine like terms: 85 + 15 = 100 -110r = 100 Divide each side by '-110'. r = -0.9090909091 Simplifying r = -0.9090909091
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