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Simplifying 8(r + -3) = r + -45 + 4r Reorder the terms: 8(-3 + r) = r + -45 + 4r (-3 * 8 + r * 8) = r + -45 + 4r (-24 + 8r) = r + -45 + 4r Reorder the terms: -24 + 8r = -45 + r + 4r Combine like terms: r + 4r = 5r -24 + 8r = -45 + 5r Solving -24 + 8r = -45 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. -24 + 8r + -5r = -45 + 5r + -5r Combine like terms: 8r + -5r = 3r -24 + 3r = -45 + 5r + -5r Combine like terms: 5r + -5r = 0 -24 + 3r = -45 + 0 -24 + 3r = -45 Add '24' to each side of the equation. -24 + 24 + 3r = -45 + 24 Combine like terms: -24 + 24 = 0 0 + 3r = -45 + 24 3r = -45 + 24 Combine like terms: -45 + 24 = -21 3r = -21 Divide each side by '3'. r = -7 Simplifying r = -7
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