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Simplifying 2r + -2 + 3(r + -3) = 2(r + 5) Reorder the terms: 2r + -2 + 3(-3 + r) = 2(r + 5) 2r + -2 + (-3 * 3 + r * 3) = 2(r + 5) 2r + -2 + (-9 + 3r) = 2(r + 5) Reorder the terms: -2 + -9 + 2r + 3r = 2(r + 5) Combine like terms: -2 + -9 = -11 -11 + 2r + 3r = 2(r + 5) Combine like terms: 2r + 3r = 5r -11 + 5r = 2(r + 5) Reorder the terms: -11 + 5r = 2(5 + r) -11 + 5r = (5 * 2 + r * 2) -11 + 5r = (10 + 2r) Solving -11 + 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. -11 + 5r + -2r = 10 + 2r + -2r Combine like terms: 5r + -2r = 3r -11 + 3r = 10 + 2r + -2r Combine like terms: 2r + -2r = 0 -11 + 3r = 10 + 0 -11 + 3r = 10 Add '11' to each side of the equation. -11 + 11 + 3r = 10 + 11 Combine like terms: -11 + 11 = 0 0 + 3r = 10 + 11 3r = 10 + 11 Combine like terms: 10 + 11 = 21 3r = 21 Divide each side by '3'. r = 7 Simplifying r = 7
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