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Simplifying -1(r + 8) = -8 + 6r Reorder the terms: -1(8 + r) = -8 + 6r (8 * -1 + r * -1) = -8 + 6r (-8 + -1r) = -8 + 6r Add '8' to each side of the equation. -8 + 8 + -1r = -8 + 8 + 6r Combine like terms: -8 + 8 = 0 0 + -1r = -8 + 8 + 6r -1r = -8 + 8 + 6r Combine like terms: -8 + 8 = 0 -1r = 0 + 6r -1r = 6r Solving -1r = 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. -1r + -6r = 6r + -6r Combine like terms: -1r + -6r = -7r -7r = 6r + -6r Combine like terms: 6r + -6r = 0 -7r = 0 Divide each side by '-7'. r = 0 Simplifying r = 0
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