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Simplifying 6(n + -9) = n + -19 Reorder the terms: 6(-9 + n) = n + -19 (-9 * 6 + n * 6) = n + -19 (-54 + 6n) = n + -19 Reorder the terms: -54 + 6n = -19 + n Solving -54 + 6n = -19 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -54 + 6n + -1n = -19 + n + -1n Combine like terms: 6n + -1n = 5n -54 + 5n = -19 + n + -1n Combine like terms: n + -1n = 0 -54 + 5n = -19 + 0 -54 + 5n = -19 Add '54' to each side of the equation. -54 + 54 + 5n = -19 + 54 Combine like terms: -54 + 54 = 0 0 + 5n = -19 + 54 5n = -19 + 54 Combine like terms: -19 + 54 = 35 5n = 35 Divide each side by '5'. n = 7 Simplifying n = 7
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