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Simplifying r + -1(4 + -1r) = 5(r + 1) + r r + (4 * -1 + -1r * -1) = 5(r + 1) + r r + (-4 + 1r) = 5(r + 1) + r Reorder the terms: -4 + r + 1r = 5(r + 1) + r Combine like terms: r + 1r = 2r -4 + 2r = 5(r + 1) + r Reorder the terms: -4 + 2r = 5(1 + r) + r -4 + 2r = (1 * 5 + r * 5) + r -4 + 2r = (5 + 5r) + r Combine like terms: 5r + r = 6r -4 + 2r = 5 + 6r Solving -4 + 2r = 5 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. -4 + 2r + -6r = 5 + 6r + -6r Combine like terms: 2r + -6r = -4r -4 + -4r = 5 + 6r + -6r Combine like terms: 6r + -6r = 0 -4 + -4r = 5 + 0 -4 + -4r = 5 Add '4' to each side of the equation. -4 + 4 + -4r = 5 + 4 Combine like terms: -4 + 4 = 0 0 + -4r = 5 + 4 -4r = 5 + 4 Combine like terms: 5 + 4 = 9 -4r = 9 Divide each side by '-4'. r = -2.25 Simplifying r = -2.25
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