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Simplifying -6(r + -2) + 2(r + 4) = 40 Reorder the terms: -6(-2 + r) + 2(r + 4) = 40 (-2 * -6 + r * -6) + 2(r + 4) = 40 (12 + -6r) + 2(r + 4) = 40 Reorder the terms: 12 + -6r + 2(4 + r) = 40 12 + -6r + (4 * 2 + r * 2) = 40 12 + -6r + (8 + 2r) = 40 Reorder the terms: 12 + 8 + -6r + 2r = 40 Combine like terms: 12 + 8 = 20 20 + -6r + 2r = 40 Combine like terms: -6r + 2r = -4r 20 + -4r = 40 Solving 20 + -4r = 40 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -4r = 40 + -20 Combine like terms: 20 + -20 = 0 0 + -4r = 40 + -20 -4r = 40 + -20 Combine like terms: 40 + -20 = 20 -4r = 20 Divide each side by '-4'. r = -5 Simplifying r = -5
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