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Simplifying 5(r + 6) = 1 + -1(r + -2) Reorder the terms: 5(6 + r) = 1 + -1(r + -2) (6 * 5 + r * 5) = 1 + -1(r + -2) (30 + 5r) = 1 + -1(r + -2) Reorder the terms: 30 + 5r = 1 + -1(-2 + r) 30 + 5r = 1 + (-2 * -1 + r * -1) 30 + 5r = 1 + (2 + -1r) Combine like terms: 1 + 2 = 3 30 + 5r = 3 + -1r Solving 30 + 5r = 3 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. 30 + 5r + r = 3 + -1r + r Combine like terms: 5r + r = 6r 30 + 6r = 3 + -1r + r Combine like terms: -1r + r = 0 30 + 6r = 3 + 0 30 + 6r = 3 Add '-30' to each side of the equation. 30 + -30 + 6r = 3 + -30 Combine like terms: 30 + -30 = 0 0 + 6r = 3 + -30 6r = 3 + -30 Combine like terms: 3 + -30 = -27 6r = -27 Divide each side by '6'. r = -4.5 Simplifying r = -4.5
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