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Simplifying -8(1 + 6n) + -8(1 + 3n) = 56 (1 * -8 + 6n * -8) + -8(1 + 3n) = 56 (-8 + -48n) + -8(1 + 3n) = 56 -8 + -48n + (1 * -8 + 3n * -8) = 56 -8 + -48n + (-8 + -24n) = 56 Reorder the terms: -8 + -8 + -48n + -24n = 56 Combine like terms: -8 + -8 = -16 -16 + -48n + -24n = 56 Combine like terms: -48n + -24n = -72n -16 + -72n = 56 Solving -16 + -72n = 56 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -72n = 56 + 16 Combine like terms: -16 + 16 = 0 0 + -72n = 56 + 16 -72n = 56 + 16 Combine like terms: 56 + 16 = 72 -72n = 72 Divide each side by '-72'. n = -1 Simplifying n = -1
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