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Simplifying 7(r + 8) = -48 + -6r Reorder the terms: 7(8 + r) = -48 + -6r (8 * 7 + r * 7) = -48 + -6r (56 + 7r) = -48 + -6r Solving 56 + 7r = -48 + -6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6r' to each side of the equation. 56 + 7r + 6r = -48 + -6r + 6r Combine like terms: 7r + 6r = 13r 56 + 13r = -48 + -6r + 6r Combine like terms: -6r + 6r = 0 56 + 13r = -48 + 0 56 + 13r = -48 Add '-56' to each side of the equation. 56 + -56 + 13r = -48 + -56 Combine like terms: 56 + -56 = 0 0 + 13r = -48 + -56 13r = -48 + -56 Combine like terms: -48 + -56 = -104 13r = -104 Divide each side by '13'. r = -8 Simplifying r = -8
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