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Simplifying 14 + -6n = -8(-7n + 6) Reorder the terms: 14 + -6n = -8(6 + -7n) 14 + -6n = (6 * -8 + -7n * -8) 14 + -6n = (-48 + 56n) Solving 14 + -6n = -48 + 56n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-56n' to each side of the equation. 14 + -6n + -56n = -48 + 56n + -56n Combine like terms: -6n + -56n = -62n 14 + -62n = -48 + 56n + -56n Combine like terms: 56n + -56n = 0 14 + -62n = -48 + 0 14 + -62n = -48 Add '-14' to each side of the equation. 14 + -14 + -62n = -48 + -14 Combine like terms: 14 + -14 = 0 0 + -62n = -48 + -14 -62n = -48 + -14 Combine like terms: -48 + -14 = -62 -62n = -62 Divide each side by '-62'. n = 1 Simplifying n = 1
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