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