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Simplifying 6(n + -4) = 7 + 7n Reorder the terms: 6(-4 + n) = 7 + 7n (-4 * 6 + n * 6) = 7 + 7n (-24 + 6n) = 7 + 7n Solving -24 + 6n = 7 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -24 + 6n + -7n = 7 + 7n + -7n Combine like terms: 6n + -7n = -1n -24 + -1n = 7 + 7n + -7n Combine like terms: 7n + -7n = 0 -24 + -1n = 7 + 0 -24 + -1n = 7 Add '24' to each side of the equation. -24 + 24 + -1n = 7 + 24 Combine like terms: -24 + 24 = 0 0 + -1n = 7 + 24 -1n = 7 + 24 Combine like terms: 7 + 24 = 31 -1n = 31 Divide each side by '-1'. n = -31 Simplifying n = -31
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