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Simplifying -1(r + -1) + 6(r + -4) = 3 + -6r + -4 Reorder the terms: -1(-1 + r) + 6(r + -4) = 3 + -6r + -4 (-1 * -1 + r * -1) + 6(r + -4) = 3 + -6r + -4 (1 + -1r) + 6(r + -4) = 3 + -6r + -4 Reorder the terms: 1 + -1r + 6(-4 + r) = 3 + -6r + -4 1 + -1r + (-4 * 6 + r * 6) = 3 + -6r + -4 1 + -1r + (-24 + 6r) = 3 + -6r + -4 Reorder the terms: 1 + -24 + -1r + 6r = 3 + -6r + -4 Combine like terms: 1 + -24 = -23 -23 + -1r + 6r = 3 + -6r + -4 Combine like terms: -1r + 6r = 5r -23 + 5r = 3 + -6r + -4 Reorder the terms: -23 + 5r = 3 + -4 + -6r Combine like terms: 3 + -4 = -1 -23 + 5r = -1 + -6r Solving -23 + 5r = -1 + -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. -23 + 5r + 6r = -1 + -6r + 6r Combine like terms: 5r + 6r = 11r -23 + 11r = -1 + -6r + 6r Combine like terms: -6r + 6r = 0 -23 + 11r = -1 + 0 -23 + 11r = -1 Add '23' to each side of the equation. -23 + 23 + 11r = -1 + 23 Combine like terms: -23 + 23 = 0 0 + 11r = -1 + 23 11r = -1 + 23 Combine like terms: -1 + 23 = 22 11r = 22 Divide each side by '11'. r = 2 Simplifying r = 2
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