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Simplifying 6(n + -3) + -4n = -30 + -1n Reorder the terms: 6(-3 + n) + -4n = -30 + -1n (-3 * 6 + n * 6) + -4n = -30 + -1n (-18 + 6n) + -4n = -30 + -1n Combine like terms: 6n + -4n = 2n -18 + 2n = -30 + -1n Solving -18 + 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. -18 + 2n + n = -30 + -1n + n Combine like terms: 2n + n = 3n -18 + 3n = -30 + -1n + n Combine like terms: -1n + n = 0 -18 + 3n = -30 + 0 -18 + 3n = -30 Add '18' to each side of the equation. -18 + 18 + 3n = -30 + 18 Combine like terms: -18 + 18 = 0 0 + 3n = -30 + 18 3n = -30 + 18 Combine like terms: -30 + 18 = -12 3n = -12 Divide each side by '3'. n = -4 Simplifying n = -4
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