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Simplifying 5(r + -4) = 4(3r + 1 + -1r) Reorder the terms: 5(-4 + r) = 4(3r + 1 + -1r) (-4 * 5 + r * 5) = 4(3r + 1 + -1r) (-20 + 5r) = 4(3r + 1 + -1r) Reorder the terms: -20 + 5r = 4(1 + 3r + -1r) Combine like terms: 3r + -1r = 2r -20 + 5r = 4(1 + 2r) -20 + 5r = (1 * 4 + 2r * 4) -20 + 5r = (4 + 8r) Solving -20 + 5r = 4 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. -20 + 5r + -8r = 4 + 8r + -8r Combine like terms: 5r + -8r = -3r -20 + -3r = 4 + 8r + -8r Combine like terms: 8r + -8r = 0 -20 + -3r = 4 + 0 -20 + -3r = 4 Add '20' to each side of the equation. -20 + 20 + -3r = 4 + 20 Combine like terms: -20 + 20 = 0 0 + -3r = 4 + 20 -3r = 4 + 20 Combine like terms: 4 + 20 = 24 -3r = 24 Divide each side by '-3'. r = -8 Simplifying r = -8
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