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Simplifying 5(r + 3) = 2r + -6 Reorder the terms: 5(3 + r) = 2r + -6 (3 * 5 + r * 5) = 2r + -6 (15 + 5r) = 2r + -6 Reorder the terms: 15 + 5r = -6 + 2r Solving 15 + 5r = -6 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 15 + 5r + -2r = -6 + 2r + -2r Combine like terms: 5r + -2r = 3r 15 + 3r = -6 + 2r + -2r Combine like terms: 2r + -2r = 0 15 + 3r = -6 + 0 15 + 3r = -6 Add '-15' to each side of the equation. 15 + -15 + 3r = -6 + -15 Combine like terms: 15 + -15 = 0 0 + 3r = -6 + -15 3r = -6 + -15 Combine like terms: -6 + -15 = -21 3r = -21 Divide each side by '3'. r = -7 Simplifying r = -7
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