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Simplifying 5r + -20 = r + -2(r + 1) Reorder the terms: -20 + 5r = r + -2(r + 1) Reorder the terms: -20 + 5r = r + -2(1 + r) -20 + 5r = r + (1 * -2 + r * -2) -20 + 5r = r + (-2 + -2r) Reorder the terms: -20 + 5r = -2 + r + -2r Combine like terms: r + -2r = -1r -20 + 5r = -2 + -1r Solving -20 + 5r = -2 + -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. -20 + 5r + r = -2 + -1r + r Combine like terms: 5r + r = 6r -20 + 6r = -2 + -1r + r Combine like terms: -1r + r = 0 -20 + 6r = -2 + 0 -20 + 6r = -2 Add '20' to each side of the equation. -20 + 20 + 6r = -2 + 20 Combine like terms: -20 + 20 = 0 0 + 6r = -2 + 20 6r = -2 + 20 Combine like terms: -2 + 20 = 18 6r = 18 Divide each side by '6'. r = 3 Simplifying r = 3
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