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Simplifying 7r + 5 = 3(r + -1) Reorder the terms: 5 + 7r = 3(r + -1) Reorder the terms: 5 + 7r = 3(-1 + r) 5 + 7r = (-1 * 3 + r * 3) 5 + 7r = (-3 + 3r) Solving 5 + 7r = -3 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 5 + 7r + -3r = -3 + 3r + -3r Combine like terms: 7r + -3r = 4r 5 + 4r = -3 + 3r + -3r Combine like terms: 3r + -3r = 0 5 + 4r = -3 + 0 5 + 4r = -3 Add '-5' to each side of the equation. 5 + -5 + 4r = -3 + -5 Combine like terms: 5 + -5 = 0 0 + 4r = -3 + -5 4r = -3 + -5 Combine like terms: -3 + -5 = -8 4r = -8 Divide each side by '4'. r = -2 Simplifying r = -2
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