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Simplifying -1(4 + -1r) = 2r + 5(r + 4) (4 * -1 + -1r * -1) = 2r + 5(r + 4) (-4 + 1r) = 2r + 5(r + 4) Reorder the terms: -4 + 1r = 2r + 5(4 + r) -4 + 1r = 2r + (4 * 5 + r * 5) -4 + 1r = 2r + (20 + 5r) Reorder the terms: -4 + 1r = 20 + 2r + 5r Combine like terms: 2r + 5r = 7r -4 + 1r = 20 + 7r Solving -4 + 1r = 20 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. -4 + 1r + -7r = 20 + 7r + -7r Combine like terms: 1r + -7r = -6r -4 + -6r = 20 + 7r + -7r Combine like terms: 7r + -7r = 0 -4 + -6r = 20 + 0 -4 + -6r = 20 Add '4' to each side of the equation. -4 + 4 + -6r = 20 + 4 Combine like terms: -4 + 4 = 0 0 + -6r = 20 + 4 -6r = 20 + 4 Combine like terms: 20 + 4 = 24 -6r = 24 Divide each side by '-6'. r = -4 Simplifying r = -4
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