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