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Simplifying 15 + -1(r + -6) = 6 + -1(3r + 5) Reorder the terms: 15 + -1(-6 + r) = 6 + -1(3r + 5) 15 + (-6 * -1 + r * -1) = 6 + -1(3r + 5) 15 + (6 + -1r) = 6 + -1(3r + 5) Combine like terms: 15 + 6 = 21 21 + -1r = 6 + -1(3r + 5) Reorder the terms: 21 + -1r = 6 + -1(5 + 3r) 21 + -1r = 6 + (5 * -1 + 3r * -1) 21 + -1r = 6 + (-5 + -3r) Combine like terms: 6 + -5 = 1 21 + -1r = 1 + -3r Solving 21 + -1r = 1 + -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. 21 + -1r + 3r = 1 + -3r + 3r Combine like terms: -1r + 3r = 2r 21 + 2r = 1 + -3r + 3r Combine like terms: -3r + 3r = 0 21 + 2r = 1 + 0 21 + 2r = 1 Add '-21' to each side of the equation. 21 + -21 + 2r = 1 + -21 Combine like terms: 21 + -21 = 0 0 + 2r = 1 + -21 2r = 1 + -21 Combine like terms: 1 + -21 = -20 2r = -20 Divide each side by '2'. r = -10 Simplifying r = -10
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