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Simplifying -2(8 + 2r) = 4(r + 8) (8 * -2 + 2r * -2) = 4(r + 8) (-16 + -4r) = 4(r + 8) Reorder the terms: -16 + -4r = 4(8 + r) -16 + -4r = (8 * 4 + r * 4) -16 + -4r = (32 + 4r) Solving -16 + -4r = 32 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. -16 + -4r + -4r = 32 + 4r + -4r Combine like terms: -4r + -4r = -8r -16 + -8r = 32 + 4r + -4r Combine like terms: 4r + -4r = 0 -16 + -8r = 32 + 0 -16 + -8r = 32 Add '16' to each side of the equation. -16 + 16 + -8r = 32 + 16 Combine like terms: -16 + 16 = 0 0 + -8r = 32 + 16 -8r = 32 + 16 Combine like terms: 32 + 16 = 48 -8r = 48 Divide each side by '-8'. r = -6 Simplifying r = -6
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