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Simplifying -6(1 + 5n) = 4n + 6(-6n + -3) (1 * -6 + 5n * -6) = 4n + 6(-6n + -3) (-6 + -30n) = 4n + 6(-6n + -3) Reorder the terms: -6 + -30n = 4n + 6(-3 + -6n) -6 + -30n = 4n + (-3 * 6 + -6n * 6) -6 + -30n = 4n + (-18 + -36n) Reorder the terms: -6 + -30n = -18 + 4n + -36n Combine like terms: 4n + -36n = -32n -6 + -30n = -18 + -32n Solving -6 + -30n = -18 + -32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '32n' to each side of the equation. -6 + -30n + 32n = -18 + -32n + 32n Combine like terms: -30n + 32n = 2n -6 + 2n = -18 + -32n + 32n Combine like terms: -32n + 32n = 0 -6 + 2n = -18 + 0 -6 + 2n = -18 Add '6' to each side of the equation. -6 + 6 + 2n = -18 + 6 Combine like terms: -6 + 6 = 0 0 + 2n = -18 + 6 2n = -18 + 6 Combine like terms: -18 + 6 = -12 2n = -12 Divide each side by '2'. n = -6 Simplifying n = -6
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