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Simplifying 4 + -2(r + 4) = 4r + 2 Reorder the terms: 4 + -2(4 + r) = 4r + 2 4 + (4 * -2 + r * -2) = 4r + 2 4 + (-8 + -2r) = 4r + 2 Combine like terms: 4 + -8 = -4 -4 + -2r = 4r + 2 Reorder the terms: -4 + -2r = 2 + 4r Solving -4 + -2r = 2 + 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. -4 + -2r + -4r = 2 + 4r + -4r Combine like terms: -2r + -4r = -6r -4 + -6r = 2 + 4r + -4r Combine like terms: 4r + -4r = 0 -4 + -6r = 2 + 0 -4 + -6r = 2 Add '4' to each side of the equation. -4 + 4 + -6r = 2 + 4 Combine like terms: -4 + 4 = 0 0 + -6r = 2 + 4 -6r = 2 + 4 Combine like terms: 2 + 4 = 6 -6r = 6 Divide each side by '-6'. r = -1 Simplifying r = -1
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