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Simplifying 8(n + -6) = 6n + -56 Reorder the terms: 8(-6 + n) = 6n + -56 (-6 * 8 + n * 8) = 6n + -56 (-48 + 8n) = 6n + -56 Reorder the terms: -48 + 8n = -56 + 6n Solving -48 + 8n = -56 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -48 + 8n + -6n = -56 + 6n + -6n Combine like terms: 8n + -6n = 2n -48 + 2n = -56 + 6n + -6n Combine like terms: 6n + -6n = 0 -48 + 2n = -56 + 0 -48 + 2n = -56 Add '48' to each side of the equation. -48 + 48 + 2n = -56 + 48 Combine like terms: -48 + 48 = 0 0 + 2n = -56 + 48 2n = -56 + 48 Combine like terms: -56 + 48 = -8 2n = -8 Divide each side by '2'. n = -4 Simplifying n = -4
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