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Simplifying 6 + -6n = -7(4n + -4) Reorder the terms: 6 + -6n = -7(-4 + 4n) 6 + -6n = (-4 * -7 + 4n * -7) 6 + -6n = (28 + -28n) Solving 6 + -6n = 28 + -28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '28n' to each side of the equation. 6 + -6n + 28n = 28 + -28n + 28n Combine like terms: -6n + 28n = 22n 6 + 22n = 28 + -28n + 28n Combine like terms: -28n + 28n = 0 6 + 22n = 28 + 0 6 + 22n = 28 Add '-6' to each side of the equation. 6 + -6 + 22n = 28 + -6 Combine like terms: 6 + -6 = 0 0 + 22n = 28 + -6 22n = 28 + -6 Combine like terms: 28 + -6 = 22 22n = 22 Divide each side by '22'. n = 1 Simplifying n = 1
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