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Simplifying -2r + 4 = -5r + -2(-4 + -2r) Reorder the terms: 4 + -2r = -5r + -2(-4 + -2r) 4 + -2r = -5r + (-4 * -2 + -2r * -2) 4 + -2r = -5r + (8 + 4r) Reorder the terms: 4 + -2r = 8 + -5r + 4r Combine like terms: -5r + 4r = -1r 4 + -2r = 8 + -1r Solving 4 + -2r = 8 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. 4 + -2r + r = 8 + -1r + r Combine like terms: -2r + r = -1r 4 + -1r = 8 + -1r + r Combine like terms: -1r + r = 0 4 + -1r = 8 + 0 4 + -1r = 8 Add '-4' to each side of the equation. 4 + -4 + -1r = 8 + -4 Combine like terms: 4 + -4 = 0 0 + -1r = 8 + -4 -1r = 8 + -4 Combine like terms: 8 + -4 = 4 -1r = 4 Divide each side by '-1'. r = -4 Simplifying r = -4
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