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Simplifying 8(r + -1) = r + -24 + 3r Reorder the terms: 8(-1 + r) = r + -24 + 3r (-1 * 8 + r * 8) = r + -24 + 3r (-8 + 8r) = r + -24 + 3r Reorder the terms: -8 + 8r = -24 + r + 3r Combine like terms: r + 3r = 4r -8 + 8r = -24 + 4r Solving -8 + 8r = -24 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. -8 + 8r + -4r = -24 + 4r + -4r Combine like terms: 8r + -4r = 4r -8 + 4r = -24 + 4r + -4r Combine like terms: 4r + -4r = 0 -8 + 4r = -24 + 0 -8 + 4r = -24 Add '8' to each side of the equation. -8 + 8 + 4r = -24 + 8 Combine like terms: -8 + 8 = 0 0 + 4r = -24 + 8 4r = -24 + 8 Combine like terms: -24 + 8 = -16 4r = -16 Divide each side by '4'. r = -4 Simplifying r = -4
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