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Simplifying 8(7.5r + -4.5) = -24.5 + 3r Reorder the terms: 8(-4.5 + 7.5r) = -24.5 + 3r (-4.5 * 8 + 7.5r * 8) = -24.5 + 3r (-36 + 60r) = -24.5 + 3r Solving -36 + 60r = -24.5 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. -36 + 60r + -3r = -24.5 + 3r + -3r Combine like terms: 60r + -3r = 57r -36 + 57r = -24.5 + 3r + -3r Combine like terms: 3r + -3r = 0 -36 + 57r = -24.5 + 0 -36 + 57r = -24.5 Add '36' to each side of the equation. -36 + 36 + 57r = -24.5 + 36 Combine like terms: -36 + 36 = 0 0 + 57r = -24.5 + 36 57r = -24.5 + 36 Combine like terms: -24.5 + 36 = 11.5 57r = 11.5 Divide each side by '57'. r = 0.201754386 Simplifying r = 0.201754386
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