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