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Simplifying -3(1 + -6n) = -5n + 8(n + -6) (1 * -3 + -6n * -3) = -5n + 8(n + -6) (-3 + 18n) = -5n + 8(n + -6) Reorder the terms: -3 + 18n = -5n + 8(-6 + n) -3 + 18n = -5n + (-6 * 8 + n * 8) -3 + 18n = -5n + (-48 + 8n) Reorder the terms: -3 + 18n = -48 + -5n + 8n Combine like terms: -5n + 8n = 3n -3 + 18n = -48 + 3n Solving -3 + 18n = -48 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -3 + 18n + -3n = -48 + 3n + -3n Combine like terms: 18n + -3n = 15n -3 + 15n = -48 + 3n + -3n Combine like terms: 3n + -3n = 0 -3 + 15n = -48 + 0 -3 + 15n = -48 Add '3' to each side of the equation. -3 + 3 + 15n = -48 + 3 Combine like terms: -3 + 3 = 0 0 + 15n = -48 + 3 15n = -48 + 3 Combine like terms: -48 + 3 = -45 15n = -45 Divide each side by '15'. n = -3 Simplifying n = -3
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