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Simplifying -1(r + -7) + 1 = 14 + -3r Reorder the terms: -1(-7 + r) + 1 = 14 + -3r (-7 * -1 + r * -1) + 1 = 14 + -3r (7 + -1r) + 1 = 14 + -3r Reorder the terms: 7 + 1 + -1r = 14 + -3r Combine like terms: 7 + 1 = 8 8 + -1r = 14 + -3r Solving 8 + -1r = 14 + -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. 8 + -1r + 3r = 14 + -3r + 3r Combine like terms: -1r + 3r = 2r 8 + 2r = 14 + -3r + 3r Combine like terms: -3r + 3r = 0 8 + 2r = 14 + 0 8 + 2r = 14 Add '-8' to each side of the equation. 8 + -8 + 2r = 14 + -8 Combine like terms: 8 + -8 = 0 0 + 2r = 14 + -8 2r = 14 + -8 Combine like terms: 14 + -8 = 6 2r = 6 Divide each side by '2'. r = 3 Simplifying r = 3
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