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Simplifying 6(n + -7) + -4(-7n + 1) = -6n + -6n Reorder the terms: 6(-7 + n) + -4(-7n + 1) = -6n + -6n (-7 * 6 + n * 6) + -4(-7n + 1) = -6n + -6n (-42 + 6n) + -4(-7n + 1) = -6n + -6n Reorder the terms: -42 + 6n + -4(1 + -7n) = -6n + -6n -42 + 6n + (1 * -4 + -7n * -4) = -6n + -6n -42 + 6n + (-4 + 28n) = -6n + -6n Reorder the terms: -42 + -4 + 6n + 28n = -6n + -6n Combine like terms: -42 + -4 = -46 -46 + 6n + 28n = -6n + -6n Combine like terms: 6n + 28n = 34n -46 + 34n = -6n + -6n Combine like terms: -6n + -6n = -12n -46 + 34n = -12n Solving -46 + 34n = -12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '12n' to each side of the equation. -46 + 34n + 12n = -12n + 12n Combine like terms: 34n + 12n = 46n -46 + 46n = -12n + 12n Combine like terms: -12n + 12n = 0 -46 + 46n = 0 Add '46' to each side of the equation. -46 + 46 + 46n = 0 + 46 Combine like terms: -46 + 46 = 0 0 + 46n = 0 + 46 46n = 0 + 46 Combine like terms: 0 + 46 = 46 46n = 46 Divide each side by '46'. n = 1 Simplifying n = 1
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