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Simplifying 2(r + 1) = 3r + -5 Reorder the terms: 2(1 + r) = 3r + -5 (1 * 2 + r * 2) = 3r + -5 (2 + 2r) = 3r + -5 Reorder the terms: 2 + 2r = -5 + 3r Solving 2 + 2r = -5 + 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. 2 + 2r + -3r = -5 + 3r + -3r Combine like terms: 2r + -3r = -1r 2 + -1r = -5 + 3r + -3r Combine like terms: 3r + -3r = 0 2 + -1r = -5 + 0 2 + -1r = -5 Add '-2' to each side of the equation. 2 + -2 + -1r = -5 + -2 Combine like terms: 2 + -2 = 0 0 + -1r = -5 + -2 -1r = -5 + -2 Combine like terms: -5 + -2 = -7 -1r = -7 Divide each side by '-1'. r = 7 Simplifying r = 7
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