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Simplifying 2r + -2 + 2(r + -4) = 2(r + 6) Reorder the terms: 2r + -2 + 2(-4 + r) = 2(r + 6) 2r + -2 + (-4 * 2 + r * 2) = 2(r + 6) 2r + -2 + (-8 + 2r) = 2(r + 6) Reorder the terms: -2 + -8 + 2r + 2r = 2(r + 6) Combine like terms: -2 + -8 = -10 -10 + 2r + 2r = 2(r + 6) Combine like terms: 2r + 2r = 4r -10 + 4r = 2(r + 6) Reorder the terms: -10 + 4r = 2(6 + r) -10 + 4r = (6 * 2 + r * 2) -10 + 4r = (12 + 2r) Solving -10 + 4r = 12 + 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 = 12 + 2r + -2r Combine like terms: 4r + -2r = 2r -10 + 2r = 12 + 2r + -2r Combine like terms: 2r + -2r = 0 -10 + 2r = 12 + 0 -10 + 2r = 12 Add '10' to each side of the equation. -10 + 10 + 2r = 12 + 10 Combine like terms: -10 + 10 = 0 0 + 2r = 12 + 10 2r = 12 + 10 Combine like terms: 12 + 10 = 22 2r = 22 Divide each side by '2'. r = 11 Simplifying r = 11
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