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Simplifying -5(2 + r) + 2 = -20 + r (2 * -5 + r * -5) + 2 = -20 + r (-10 + -5r) + 2 = -20 + r Reorder the terms: -10 + 2 + -5r = -20 + r Combine like terms: -10 + 2 = -8 -8 + -5r = -20 + r Solving -8 + -5r = -20 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. -8 + -5r + -1r = -20 + r + -1r Combine like terms: -5r + -1r = -6r -8 + -6r = -20 + r + -1r Combine like terms: r + -1r = 0 -8 + -6r = -20 + 0 -8 + -6r = -20 Add '8' to each side of the equation. -8 + 8 + -6r = -20 + 8 Combine like terms: -8 + 8 = 0 0 + -6r = -20 + 8 -6r = -20 + 8 Combine like terms: -20 + 8 = -12 -6r = -12 Divide each side by '-6'. r = 2 Simplifying r = 2
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