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Simplifying 5(r + -2) = 2r + -28 Reorder the terms: 5(-2 + r) = 2r + -28 (-2 * 5 + r * 5) = 2r + -28 (-10 + 5r) = 2r + -28 Reorder the terms: -10 + 5r = -28 + 2r Solving -10 + 5r = -28 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. -10 + 5r + -2r = -28 + 2r + -2r Combine like terms: 5r + -2r = 3r -10 + 3r = -28 + 2r + -2r Combine like terms: 2r + -2r = 0 -10 + 3r = -28 + 0 -10 + 3r = -28 Add '10' to each side of the equation. -10 + 10 + 3r = -28 + 10 Combine like terms: -10 + 10 = 0 0 + 3r = -28 + 10 3r = -28 + 10 Combine like terms: -28 + 10 = -18 3r = -18 Divide each side by '3'. r = -6 Simplifying r = -6
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