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Simplifying 7(n + -4) + -6 = -40 + n Reorder the terms: 7(-4 + n) + -6 = -40 + n (-4 * 7 + n * 7) + -6 = -40 + n (-28 + 7n) + -6 = -40 + n Reorder the terms: -28 + -6 + 7n = -40 + n Combine like terms: -28 + -6 = -34 -34 + 7n = -40 + n Solving -34 + 7n = -40 + 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. -34 + 7n + -1n = -40 + n + -1n Combine like terms: 7n + -1n = 6n -34 + 6n = -40 + n + -1n Combine like terms: n + -1n = 0 -34 + 6n = -40 + 0 -34 + 6n = -40 Add '34' to each side of the equation. -34 + 34 + 6n = -40 + 34 Combine like terms: -34 + 34 = 0 0 + 6n = -40 + 34 6n = -40 + 34 Combine like terms: -40 + 34 = -6 6n = -6 Divide each side by '6'. n = -1 Simplifying n = -1
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