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Simplifying 5 + (8 + -2r) = 15 + -1(3r + -1) Remove parenthesis around (8 + -2r) 5 + 8 + -2r = 15 + -1(3r + -1) Combine like terms: 5 + 8 = 13 13 + -2r = 15 + -1(3r + -1) Reorder the terms: 13 + -2r = 15 + -1(-1 + 3r) 13 + -2r = 15 + (-1 * -1 + 3r * -1) 13 + -2r = 15 + (1 + -3r) Combine like terms: 15 + 1 = 16 13 + -2r = 16 + -3r Solving 13 + -2r = 16 + -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. 13 + -2r + 3r = 16 + -3r + 3r Combine like terms: -2r + 3r = 1r 13 + 1r = 16 + -3r + 3r Combine like terms: -3r + 3r = 0 13 + 1r = 16 + 0 13 + 1r = 16 Add '-13' to each side of the equation. 13 + -13 + 1r = 16 + -13 Combine like terms: 13 + -13 = 0 0 + 1r = 16 + -13 1r = 16 + -13 Combine like terms: 16 + -13 = 3 1r = 3 Divide each side by '1'. r = 3 Simplifying r = 3
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