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