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Simplifying 5(r + 3) + -6 = 3(r + -2) Reorder the terms: 5(3 + r) + -6 = 3(r + -2) (3 * 5 + r * 5) + -6 = 3(r + -2) (15 + 5r) + -6 = 3(r + -2) Reorder the terms: 15 + -6 + 5r = 3(r + -2) Combine like terms: 15 + -6 = 9 9 + 5r = 3(r + -2) Reorder the terms: 9 + 5r = 3(-2 + r) 9 + 5r = (-2 * 3 + r * 3) 9 + 5r = (-6 + 3r) Solving 9 + 5r = -6 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 9 + 5r + -3r = -6 + 3r + -3r Combine like terms: 5r + -3r = 2r 9 + 2r = -6 + 3r + -3r Combine like terms: 3r + -3r = 0 9 + 2r = -6 + 0 9 + 2r = -6 Add '-9' to each side of the equation. 9 + -9 + 2r = -6 + -9 Combine like terms: 9 + -9 = 0 0 + 2r = -6 + -9 2r = -6 + -9 Combine like terms: -6 + -9 = -15 2r = -15 Divide each side by '2'. r = -7.5 Simplifying r = -7.5
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