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Simplifying 1 + -7(r + -6) = 7r + -13 Reorder the terms: 1 + -7(-6 + r) = 7r + -13 1 + (-6 * -7 + r * -7) = 7r + -13 1 + (42 + -7r) = 7r + -13 Combine like terms: 1 + 42 = 43 43 + -7r = 7r + -13 Reorder the terms: 43 + -7r = -13 + 7r Solving 43 + -7r = -13 + 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. 43 + -7r + -7r = -13 + 7r + -7r Combine like terms: -7r + -7r = -14r 43 + -14r = -13 + 7r + -7r Combine like terms: 7r + -7r = 0 43 + -14r = -13 + 0 43 + -14r = -13 Add '-43' to each side of the equation. 43 + -43 + -14r = -13 + -43 Combine like terms: 43 + -43 = 0 0 + -14r = -13 + -43 -14r = -13 + -43 Combine like terms: -13 + -43 = -56 -14r = -56 Divide each side by '-14'. r = 4 Simplifying r = 4
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