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Simplifying 4r + -10 = 12 + 2(r + 8) Reorder the terms: -10 + 4r = 12 + 2(r + 8) Reorder the terms: -10 + 4r = 12 + 2(8 + r) -10 + 4r = 12 + (8 * 2 + r * 2) -10 + 4r = 12 + (16 + 2r) Combine like terms: 12 + 16 = 28 -10 + 4r = 28 + 2r Solving -10 + 4r = 28 + 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. -10 + 4r + -2r = 28 + 2r + -2r Combine like terms: 4r + -2r = 2r -10 + 2r = 28 + 2r + -2r Combine like terms: 2r + -2r = 0 -10 + 2r = 28 + 0 -10 + 2r = 28 Add '10' to each side of the equation. -10 + 10 + 2r = 28 + 10 Combine like terms: -10 + 10 = 0 0 + 2r = 28 + 10 2r = 28 + 10 Combine like terms: 28 + 10 = 38 2r = 38 Divide each side by '2'. r = 19 Simplifying r = 19
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