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Simplifying 4(1 + -5n) + -5 = -1n + 18 (1 * 4 + -5n * 4) + -5 = -1n + 18 (4 + -20n) + -5 = -1n + 18 Reorder the terms: 4 + -5 + -20n = -1n + 18 Combine like terms: 4 + -5 = -1 -1 + -20n = -1n + 18 Reorder the terms: -1 + -20n = 18 + -1n Solving -1 + -20n = 18 + -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. -1 + -20n + n = 18 + -1n + n Combine like terms: -20n + n = -19n -1 + -19n = 18 + -1n + n Combine like terms: -1n + n = 0 -1 + -19n = 18 + 0 -1 + -19n = 18 Add '1' to each side of the equation. -1 + 1 + -19n = 18 + 1 Combine like terms: -1 + 1 = 0 0 + -19n = 18 + 1 -19n = 18 + 1 Combine like terms: 18 + 1 = 19 -19n = 19 Divide each side by '-19'. n = -1 Simplifying n = -1
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