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Simplifying 4(1 + -1n) + -6n = -3(3n + 2) (1 * 4 + -1n * 4) + -6n = -3(3n + 2) (4 + -4n) + -6n = -3(3n + 2) Combine like terms: -4n + -6n = -10n 4 + -10n = -3(3n + 2) Reorder the terms: 4 + -10n = -3(2 + 3n) 4 + -10n = (2 * -3 + 3n * -3) 4 + -10n = (-6 + -9n) Solving 4 + -10n = -6 + -9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9n' to each side of the equation. 4 + -10n + 9n = -6 + -9n + 9n Combine like terms: -10n + 9n = -1n 4 + -1n = -6 + -9n + 9n Combine like terms: -9n + 9n = 0 4 + -1n = -6 + 0 4 + -1n = -6 Add '-4' to each side of the equation. 4 + -4 + -1n = -6 + -4 Combine like terms: 4 + -4 = 0 0 + -1n = -6 + -4 -1n = -6 + -4 Combine like terms: -6 + -4 = -10 -1n = -10 Divide each side by '-1'. n = 10 Simplifying n = 10
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