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Simplifying -1n + -8 = 1 + 8(-7 + -6n) Reorder the terms: -8 + -1n = 1 + 8(-7 + -6n) -8 + -1n = 1 + (-7 * 8 + -6n * 8) -8 + -1n = 1 + (-56 + -48n) Combine like terms: 1 + -56 = -55 -8 + -1n = -55 + -48n Solving -8 + -1n = -55 + -48n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '48n' to each side of the equation. -8 + -1n + 48n = -55 + -48n + 48n Combine like terms: -1n + 48n = 47n -8 + 47n = -55 + -48n + 48n Combine like terms: -48n + 48n = 0 -8 + 47n = -55 + 0 -8 + 47n = -55 Add '8' to each side of the equation. -8 + 8 + 47n = -55 + 8 Combine like terms: -8 + 8 = 0 0 + 47n = -55 + 8 47n = -55 + 8 Combine like terms: -55 + 8 = -47 47n = -47 Divide each side by '47'. n = -1 Simplifying n = -1
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