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