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Simplifying 7(n + -6) = -6(-1n + 6) Reorder the terms: 7(-6 + n) = -6(-1n + 6) (-6 * 7 + n * 7) = -6(-1n + 6) (-42 + 7n) = -6(-1n + 6) Reorder the terms: -42 + 7n = -6(6 + -1n) -42 + 7n = (6 * -6 + -1n * -6) -42 + 7n = (-36 + 6n) Solving -42 + 7n = -36 + 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. -42 + 7n + -6n = -36 + 6n + -6n Combine like terms: 7n + -6n = 1n -42 + 1n = -36 + 6n + -6n Combine like terms: 6n + -6n = 0 -42 + 1n = -36 + 0 -42 + 1n = -36 Add '42' to each side of the equation. -42 + 42 + 1n = -36 + 42 Combine like terms: -42 + 42 = 0 0 + 1n = -36 + 42 1n = -36 + 42 Combine like terms: -36 + 42 = 6 1n = 6 Divide each side by '1'. n = 6 Simplifying n = 6
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