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Simplifying 7(r + 12) = -7(r + 12) + -1 Reorder the terms: 7(12 + r) = -7(r + 12) + -1 (12 * 7 + r * 7) = -7(r + 12) + -1 (84 + 7r) = -7(r + 12) + -1 Reorder the terms: 84 + 7r = -7(12 + r) + -1 84 + 7r = (12 * -7 + r * -7) + -1 84 + 7r = (-84 + -7r) + -1 Reorder the terms: 84 + 7r = -84 + -1 + -7r Combine like terms: -84 + -1 = -85 84 + 7r = -85 + -7r Solving 84 + 7r = -85 + -7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '7r' to each side of the equation. 84 + 7r + 7r = -85 + -7r + 7r Combine like terms: 7r + 7r = 14r 84 + 14r = -85 + -7r + 7r Combine like terms: -7r + 7r = 0 84 + 14r = -85 + 0 84 + 14r = -85 Add '-84' to each side of the equation. 84 + -84 + 14r = -85 + -84 Combine like terms: 84 + -84 = 0 0 + 14r = -85 + -84 14r = -85 + -84 Combine like terms: -85 + -84 = -169 14r = -169 Divide each side by '14'. r = -12.07142857 Simplifying r = -12.07142857
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