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Simplifying -7(r + -4) + 8 = -34 + 7r Reorder the terms: -7(-4 + r) + 8 = -34 + 7r (-4 * -7 + r * -7) + 8 = -34 + 7r (28 + -7r) + 8 = -34 + 7r Reorder the terms: 28 + 8 + -7r = -34 + 7r Combine like terms: 28 + 8 = 36 36 + -7r = -34 + 7r Solving 36 + -7r = -34 + 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. 36 + -7r + -7r = -34 + 7r + -7r Combine like terms: -7r + -7r = -14r 36 + -14r = -34 + 7r + -7r Combine like terms: 7r + -7r = 0 36 + -14r = -34 + 0 36 + -14r = -34 Add '-36' to each side of the equation. 36 + -36 + -14r = -34 + -36 Combine like terms: 36 + -36 = 0 0 + -14r = -34 + -36 -14r = -34 + -36 Combine like terms: -34 + -36 = -70 -14r = -70 Divide each side by '-14'. r = 5 Simplifying r = 5
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