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Simplifying 146 = -1n + -6(3n + 1) Reorder the terms: 146 = -1n + -6(1 + 3n) 146 = -1n + (1 * -6 + 3n * -6) 146 = -1n + (-6 + -18n) Reorder the terms: 146 = -6 + -1n + -18n Combine like terms: -1n + -18n = -19n 146 = -6 + -19n Solving 146 = -6 + -19n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '19n' to each side of the equation. 146 + 19n = -6 + -19n + 19n Combine like terms: -19n + 19n = 0 146 + 19n = -6 + 0 146 + 19n = -6 Add '-146' to each side of the equation. 146 + -146 + 19n = -6 + -146 Combine like terms: 146 + -146 = 0 0 + 19n = -6 + -146 19n = -6 + -146 Combine like terms: -6 + -146 = -152 19n = -152 Divide each side by '19'. n = -8 Simplifying n = -8
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