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Simplifying -7 + 7(n + -4) = -31 + 6n Reorder the terms: -7 + 7(-4 + n) = -31 + 6n -7 + (-4 * 7 + n * 7) = -31 + 6n -7 + (-28 + 7n) = -31 + 6n Combine like terms: -7 + -28 = -35 -35 + 7n = -31 + 6n Solving -35 + 7n = -31 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -35 + 7n + -6n = -31 + 6n + -6n Combine like terms: 7n + -6n = 1n -35 + 1n = -31 + 6n + -6n Combine like terms: 6n + -6n = 0 -35 + 1n = -31 + 0 -35 + 1n = -31 Add '35' to each side of the equation. -35 + 35 + 1n = -31 + 35 Combine like terms: -35 + 35 = 0 0 + 1n = -31 + 35 1n = -31 + 35 Combine like terms: -31 + 35 = 4 1n = 4 Divide each side by '1'. n = 4 Simplifying n = 4
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