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Simplifying 6n + -1(6 + 4n) = -1n + -30 6n + (6 * -1 + 4n * -1) = -1n + -30 6n + (-6 + -4n) = -1n + -30 Reorder the terms: -6 + 6n + -4n = -1n + -30 Combine like terms: 6n + -4n = 2n -6 + 2n = -1n + -30 Reorder the terms: -6 + 2n = -30 + -1n Solving -6 + 2n = -30 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -6 + 2n + n = -30 + -1n + n Combine like terms: 2n + n = 3n -6 + 3n = -30 + -1n + n Combine like terms: -1n + n = 0 -6 + 3n = -30 + 0 -6 + 3n = -30 Add '6' to each side of the equation. -6 + 6 + 3n = -30 + 6 Combine like terms: -6 + 6 = 0 0 + 3n = -30 + 6 3n = -30 + 6 Combine like terms: -30 + 6 = -24 3n = -24 Divide each side by '3'. n = -8 Simplifying n = -8
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