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