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Simplifying -8(r + -6) = r + -24 Reorder the terms: -8(-6 + r) = r + -24 (-6 * -8 + r * -8) = r + -24 (48 + -8r) = r + -24 Reorder the terms: 48 + -8r = -24 + r Solving 48 + -8r = -24 + r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. 48 + -8r + -1r = -24 + r + -1r Combine like terms: -8r + -1r = -9r 48 + -9r = -24 + r + -1r Combine like terms: r + -1r = 0 48 + -9r = -24 + 0 48 + -9r = -24 Add '-48' to each side of the equation. 48 + -48 + -9r = -24 + -48 Combine like terms: 48 + -48 = 0 0 + -9r = -24 + -48 -9r = -24 + -48 Combine like terms: -24 + -48 = -72 -9r = -72 Divide each side by '-9'. r = 8 Simplifying r = 8
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