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Simplifying -5r + 7 = -2(2r + -1) Reorder the terms: 7 + -5r = -2(2r + -1) Reorder the terms: 7 + -5r = -2(-1 + 2r) 7 + -5r = (-1 * -2 + 2r * -2) 7 + -5r = (2 + -4r) Solving 7 + -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. 7 + -5r + 4r = 2 + -4r + 4r Combine like terms: -5r + 4r = -1r 7 + -1r = 2 + -4r + 4r Combine like terms: -4r + 4r = 0 7 + -1r = 2 + 0 7 + -1r = 2 Add '-7' to each side of the equation. 7 + -7 + -1r = 2 + -7 Combine like terms: 7 + -7 = 0 0 + -1r = 2 + -7 -1r = 2 + -7 Combine like terms: 2 + -7 = -5 -1r = -5 Divide each side by '-1'. r = 5 Simplifying r = 5
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