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Simplifying -3r + 5(r + -4) = 3(8r + 8) Reorder the terms: -3r + 5(-4 + r) = 3(8r + 8) -3r + (-4 * 5 + r * 5) = 3(8r + 8) -3r + (-20 + 5r) = 3(8r + 8) Reorder the terms: -20 + -3r + 5r = 3(8r + 8) Combine like terms: -3r + 5r = 2r -20 + 2r = 3(8r + 8) Reorder the terms: -20 + 2r = 3(8 + 8r) -20 + 2r = (8 * 3 + 8r * 3) -20 + 2r = (24 + 24r) Solving -20 + 2r = 24 + 24r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-24r' to each side of the equation. -20 + 2r + -24r = 24 + 24r + -24r Combine like terms: 2r + -24r = -22r -20 + -22r = 24 + 24r + -24r Combine like terms: 24r + -24r = 0 -20 + -22r = 24 + 0 -20 + -22r = 24 Add '20' to each side of the equation. -20 + 20 + -22r = 24 + 20 Combine like terms: -20 + 20 = 0 0 + -22r = 24 + 20 -22r = 24 + 20 Combine like terms: 24 + 20 = 44 -22r = 44 Divide each side by '-22'. r = -2 Simplifying r = -2
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