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Simplifying 4 + -5r = 4(1 + -1r) + -2 4 + -5r = (1 * 4 + -1r * 4) + -2 4 + -5r = (4 + -4r) + -2 Reorder the terms: 4 + -5r = 4 + -2 + -4r Combine like terms: 4 + -2 = 2 4 + -5r = 2 + -4r Solving 4 + -5r = 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 + -5r + 4r = 2 + -4r + 4r Combine like terms: -5r + 4r = -1r 4 + -1r = 2 + -4r + 4r Combine like terms: -4r + 4r = 0 4 + -1r = 2 + 0 4 + -1r = 2 Add '-4' to each side of the equation. 4 + -4 + -1r = 2 + -4 Combine like terms: 4 + -4 = 0 0 + -1r = 2 + -4 -1r = 2 + -4 Combine like terms: 2 + -4 = -2 -1r = -2 Divide each side by '-1'. r = 2 Simplifying r = 2
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