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Simplifying -2(r + -4) + -6(4r + -5) = -14 Reorder the terms: -2(-4 + r) + -6(4r + -5) = -14 (-4 * -2 + r * -2) + -6(4r + -5) = -14 (8 + -2r) + -6(4r + -5) = -14 Reorder the terms: 8 + -2r + -6(-5 + 4r) = -14 8 + -2r + (-5 * -6 + 4r * -6) = -14 8 + -2r + (30 + -24r) = -14 Reorder the terms: 8 + 30 + -2r + -24r = -14 Combine like terms: 8 + 30 = 38 38 + -2r + -24r = -14 Combine like terms: -2r + -24r = -26r 38 + -26r = -14 Solving 38 + -26r = -14 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + -26r = -14 + -38 Combine like terms: 38 + -38 = 0 0 + -26r = -14 + -38 -26r = -14 + -38 Combine like terms: -14 + -38 = -52 -26r = -52 Divide each side by '-26'. r = 2 Simplifying r = 2
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