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Simplifying 7r + 8 + -3r = 2(r + 12) + -6 Reorder the terms: 8 + 7r + -3r = 2(r + 12) + -6 Combine like terms: 7r + -3r = 4r 8 + 4r = 2(r + 12) + -6 Reorder the terms: 8 + 4r = 2(12 + r) + -6 8 + 4r = (12 * 2 + r * 2) + -6 8 + 4r = (24 + 2r) + -6 Reorder the terms: 8 + 4r = 24 + -6 + 2r Combine like terms: 24 + -6 = 18 8 + 4r = 18 + 2r Solving 8 + 4r = 18 + 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. 8 + 4r + -2r = 18 + 2r + -2r Combine like terms: 4r + -2r = 2r 8 + 2r = 18 + 2r + -2r Combine like terms: 2r + -2r = 0 8 + 2r = 18 + 0 8 + 2r = 18 Add '-8' to each side of the equation. 8 + -8 + 2r = 18 + -8 Combine like terms: 8 + -8 = 0 0 + 2r = 18 + -8 2r = 18 + -8 Combine like terms: 18 + -8 = 10 2r = 10 Divide each side by '2'. r = 5 Simplifying r = 5
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