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Simplifying -6 + -8(r + 7) = -86 Reorder the terms: -6 + -8(7 + r) = -86 -6 + (7 * -8 + r * -8) = -86 -6 + (-56 + -8r) = -86 Combine like terms: -6 + -56 = -62 -62 + -8r = -86 Solving -62 + -8r = -86 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '62' to each side of the equation. -62 + 62 + -8r = -86 + 62 Combine like terms: -62 + 62 = 0 0 + -8r = -86 + 62 -8r = -86 + 62 Combine like terms: -86 + 62 = -24 -8r = -24 Divide each side by '-8'. r = 3 Simplifying r = 3
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