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Simplifying 5[r + -1] = 2[r + -4] + -6 Reorder the terms: 5[-1 + r] = 2[r + -4] + -6 [-1 * 5 + r * 5] = 2[r + -4] + -6 [-5 + 5r] = 2[r + -4] + -6 Reorder the terms: -5 + 5r = 2[-4 + r] + -6 -5 + 5r = [-4 * 2 + r * 2] + -6 -5 + 5r = [-8 + 2r] + -6 Reorder the terms: -5 + 5r = -8 + -6 + 2r Combine like terms: -8 + -6 = -14 -5 + 5r = -14 + 2r Solving -5 + 5r = -14 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. -5 + 5r + -2r = -14 + 2r + -2r Combine like terms: 5r + -2r = 3r -5 + 3r = -14 + 2r + -2r Combine like terms: 2r + -2r = 0 -5 + 3r = -14 + 0 -5 + 3r = -14 Add '5' to each side of the equation. -5 + 5 + 3r = -14 + 5 Combine like terms: -5 + 5 = 0 0 + 3r = -14 + 5 3r = -14 + 5 Combine like terms: -14 + 5 = -9 3r = -9 Divide each side by '3'. r = -3 Simplifying r = -3
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