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Simplifying 3r + -2 = 5(r + 2) Reorder the terms: -2 + 3r = 5(r + 2) Reorder the terms: -2 + 3r = 5(2 + r) -2 + 3r = (2 * 5 + r * 5) -2 + 3r = (10 + 5r) Solving -2 + 3r = 10 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. -2 + 3r + -5r = 10 + 5r + -5r Combine like terms: 3r + -5r = -2r -2 + -2r = 10 + 5r + -5r Combine like terms: 5r + -5r = 0 -2 + -2r = 10 + 0 -2 + -2r = 10 Add '2' to each side of the equation. -2 + 2 + -2r = 10 + 2 Combine like terms: -2 + 2 = 0 0 + -2r = 10 + 2 -2r = 10 + 2 Combine like terms: 10 + 2 = 12 -2r = 12 Divide each side by '-2'. r = -6 Simplifying r = -6
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