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Simplifying 4(r + -2) = 2(r + 8) Reorder the terms: 4(-2 + r) = 2(r + 8) (-2 * 4 + r * 4) = 2(r + 8) (-8 + 4r) = 2(r + 8) Reorder the terms: -8 + 4r = 2(8 + r) -8 + 4r = (8 * 2 + r * 2) -8 + 4r = (16 + 2r) Solving -8 + 4r = 16 + 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 = 16 + 2r + -2r Combine like terms: 4r + -2r = 2r -8 + 2r = 16 + 2r + -2r Combine like terms: 2r + -2r = 0 -8 + 2r = 16 + 0 -8 + 2r = 16 Add '8' to each side of the equation. -8 + 8 + 2r = 16 + 8 Combine like terms: -8 + 8 = 0 0 + 2r = 16 + 8 2r = 16 + 8 Combine like terms: 16 + 8 = 24 2r = 24 Divide each side by '2'. r = 12 Simplifying r = 12
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