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Simplifying -7n + 12 = 6(7n + 2) + 4n Reorder the terms: 12 + -7n = 6(7n + 2) + 4n Reorder the terms: 12 + -7n = 6(2 + 7n) + 4n 12 + -7n = (2 * 6 + 7n * 6) + 4n 12 + -7n = (12 + 42n) + 4n Combine like terms: 42n + 4n = 46n 12 + -7n = 12 + 46n Add '-12' to each side of the equation. 12 + -12 + -7n = 12 + -12 + 46n Combine like terms: 12 + -12 = 0 0 + -7n = 12 + -12 + 46n -7n = 12 + -12 + 46n Combine like terms: 12 + -12 = 0 -7n = 0 + 46n -7n = 46n Solving -7n = 46n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-46n' to each side of the equation. -7n + -46n = 46n + -46n Combine like terms: -7n + -46n = -53n -53n = 46n + -46n Combine like terms: 46n + -46n = 0 -53n = 0 Divide each side by '-53'. n = 0 Simplifying n = 0
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