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Simplifying 2(4 + 2r) + 10 = r (4 * 2 + 2r * 2) + 10 = r (8 + 4r) + 10 = r Reorder the terms: 8 + 10 + 4r = r Combine like terms: 8 + 10 = 18 18 + 4r = r Solving 18 + 4r = r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. 18 + 4r + -1r = r + -1r Combine like terms: 4r + -1r = 3r 18 + 3r = r + -1r Combine like terms: r + -1r = 0 18 + 3r = 0 Add '-18' to each side of the equation. 18 + -18 + 3r = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 3r = 0 + -18 3r = 0 + -18 Combine like terms: 0 + -18 = -18 3r = -18 Divide each side by '3'. r = -6 Simplifying r = -6
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