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Simplifying 6 = -7(r + 8) Reorder the terms: 6 = -7(8 + r) 6 = (8 * -7 + r * -7) 6 = (-56 + -7r) Solving 6 = -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. 6 + 7r = -56 + -7r + 7r Combine like terms: -7r + 7r = 0 6 + 7r = -56 + 0 6 + 7r = -56 Add '-6' to each side of the equation. 6 + -6 + 7r = -56 + -6 Combine like terms: 6 + -6 = 0 0 + 7r = -56 + -6 7r = -56 + -6 Combine like terms: -56 + -6 = -62 7r = -62 Divide each side by '7'. r = -8.857142857 Simplifying r = -8.857142857
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