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Simplifying 2(x + 2) + 3r = 2(x + 1) Reorder the terms: 2(2 + x) + 3r = 2(x + 1) (2 * 2 + x * 2) + 3r = 2(x + 1) (4 + 2x) + 3r = 2(x + 1) Reorder the terms: 4 + 3r + 2x = 2(x + 1) Reorder the terms: 4 + 3r + 2x = 2(1 + x) 4 + 3r + 2x = (1 * 2 + x * 2) 4 + 3r + 2x = (2 + 2x) Add '-2x' to each side of the equation. 4 + 3r + 2x + -2x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + 3r + 0 = 2 + 2x + -2x 4 + 3r = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + 3r = 2 + 0 4 + 3r = 2 Solving 4 + 3r = 2 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3r = 2 + -4 Combine like terms: 4 + -4 = 0 0 + 3r = 2 + -4 3r = 2 + -4 Combine like terms: 2 + -4 = -2 3r = -2 Divide each side by '3'. r = -0.6666666667 Simplifying r = -0.6666666667
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