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Simplifying 7r + -14 = 7(8 + -1r) Reorder the terms: -14 + 7r = 7(8 + -1r) -14 + 7r = (8 * 7 + -1r * 7) -14 + 7r = (56 + -7r) Solving -14 + 7r = 56 + -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. -14 + 7r + 7r = 56 + -7r + 7r Combine like terms: 7r + 7r = 14r -14 + 14r = 56 + -7r + 7r Combine like terms: -7r + 7r = 0 -14 + 14r = 56 + 0 -14 + 14r = 56 Add '14' to each side of the equation. -14 + 14 + 14r = 56 + 14 Combine like terms: -14 + 14 = 0 0 + 14r = 56 + 14 14r = 56 + 14 Combine like terms: 56 + 14 = 70 14r = 70 Divide each side by '14'. r = 5 Simplifying r = 5
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