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Simplifying -1r = 6 + -8(r + 6) Reorder the terms: -1r = 6 + -8(6 + r) -1r = 6 + (6 * -8 + r * -8) -1r = 6 + (-48 + -8r) Combine like terms: 6 + -48 = -42 -1r = -42 + -8r Solving -1r = -42 + -8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8r' to each side of the equation. -1r + 8r = -42 + -8r + 8r Combine like terms: -1r + 8r = 7r 7r = -42 + -8r + 8r Combine like terms: -8r + 8r = 0 7r = -42 + 0 7r = -42 Divide each side by '7'. r = -6 Simplifying r = -6
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