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Simplifying 3n + 4(-4 + -1n) = -30 + 6n 3n + (-4 * 4 + -1n * 4) = -30 + 6n 3n + (-16 + -4n) = -30 + 6n Reorder the terms: -16 + 3n + -4n = -30 + 6n Combine like terms: 3n + -4n = -1n -16 + -1n = -30 + 6n Solving -16 + -1n = -30 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -16 + -1n + -6n = -30 + 6n + -6n Combine like terms: -1n + -6n = -7n -16 + -7n = -30 + 6n + -6n Combine like terms: 6n + -6n = 0 -16 + -7n = -30 + 0 -16 + -7n = -30 Add '16' to each side of the equation. -16 + 16 + -7n = -30 + 16 Combine like terms: -16 + 16 = 0 0 + -7n = -30 + 16 -7n = -30 + 16 Combine like terms: -30 + 16 = -14 -7n = -14 Divide each side by '-7'. n = 2 Simplifying n = 2
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