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Simplifying 7(r + 1) = r + -35 Reorder the terms: 7(1 + r) = r + -35 (1 * 7 + r * 7) = r + -35 (7 + 7r) = r + -35 Reorder the terms: 7 + 7r = -35 + r Solving 7 + 7r = -35 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. 7 + 7r + -1r = -35 + r + -1r Combine like terms: 7r + -1r = 6r 7 + 6r = -35 + r + -1r Combine like terms: r + -1r = 0 7 + 6r = -35 + 0 7 + 6r = -35 Add '-7' to each side of the equation. 7 + -7 + 6r = -35 + -7 Combine like terms: 7 + -7 = 0 0 + 6r = -35 + -7 6r = -35 + -7 Combine like terms: -35 + -7 = -42 6r = -42 Divide each side by '6'. r = -7 Simplifying r = -7
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