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Simplifying r + -2(r + 1) = 5r + -20 Reorder the terms: r + -2(1 + r) = 5r + -20 r + (1 * -2 + r * -2) = 5r + -20 r + (-2 + -2r) = 5r + -20 Reorder the terms: -2 + r + -2r = 5r + -20 Combine like terms: r + -2r = -1r -2 + -1r = 5r + -20 Reorder the terms: -2 + -1r = -20 + 5r Solving -2 + -1r = -20 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. -2 + -1r + -5r = -20 + 5r + -5r Combine like terms: -1r + -5r = -6r -2 + -6r = -20 + 5r + -5r Combine like terms: 5r + -5r = 0 -2 + -6r = -20 + 0 -2 + -6r = -20 Add '2' to each side of the equation. -2 + 2 + -6r = -20 + 2 Combine like terms: -2 + 2 = 0 0 + -6r = -20 + 2 -6r = -20 + 2 Combine like terms: -20 + 2 = -18 -6r = -18 Divide each side by '-6'. r = 3 Simplifying r = 3
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