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Simplifying 5(r + -2) = 6r + 2 + -4r Reorder the terms: 5(-2 + r) = 6r + 2 + -4r (-2 * 5 + r * 5) = 6r + 2 + -4r (-10 + 5r) = 6r + 2 + -4r Reorder the terms: -10 + 5r = 2 + 6r + -4r Combine like terms: 6r + -4r = 2r -10 + 5r = 2 + 2r Solving -10 + 5r = 2 + 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 = 2 + 2r + -2r Combine like terms: 5r + -2r = 3r -10 + 3r = 2 + 2r + -2r Combine like terms: 2r + -2r = 0 -10 + 3r = 2 + 0 -10 + 3r = 2 Add '10' to each side of the equation. -10 + 10 + 3r = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 3r = 2 + 10 3r = 2 + 10 Combine like terms: 2 + 10 = 12 3r = 12 Divide each side by '3'. r = 4 Simplifying r = 4
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