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Simplifying 8 + 7r = 3 + -1(r + 3) Reorder the terms: 8 + 7r = 3 + -1(3 + r) 8 + 7r = 3 + (3 * -1 + r * -1) 8 + 7r = 3 + (-3 + -1r) Combine like terms: 3 + -3 = 0 8 + 7r = 0 + -1r 8 + 7r = -1r Solving 8 + 7r = -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. 8 + 7r + r = -1r + r Combine like terms: 7r + r = 8r 8 + 8r = -1r + r Combine like terms: -1r + r = 0 8 + 8r = 0 Add '-8' to each side of the equation. 8 + -8 + 8r = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 8r = 0 + -8 8r = 0 + -8 Combine like terms: 0 + -8 = -8 8r = -8 Divide each side by '8'. r = -1 Simplifying r = -1
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