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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 = 12 12 + 5r = -20 + r Solving 12 + 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. 12 + 5r + -1r = -20 + r + -1r Combine like terms: 5r + -1r = 4r 12 + 4r = -20 + r + -1r Combine like terms: r + -1r = 0 12 + 4r = -20 + 0 12 + 4r = -20 Add '-12' to each side of the equation. 12 + -12 + 4r = -20 + -12 Combine like terms: 12 + -12 = 0 0 + 4r = -20 + -12 4r = -20 + -12 Combine like terms: -20 + -12 = -32 4r = -32 Divide each side by '4'. r = -8 Simplifying r = -8
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