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Simplifying -5(3 + 8n) = -6(6n + -7) + 7 (3 * -5 + 8n * -5) = -6(6n + -7) + 7 (-15 + -40n) = -6(6n + -7) + 7 Reorder the terms: -15 + -40n = -6(-7 + 6n) + 7 -15 + -40n = (-7 * -6 + 6n * -6) + 7 -15 + -40n = (42 + -36n) + 7 Reorder the terms: -15 + -40n = 42 + 7 + -36n Combine like terms: 42 + 7 = 49 -15 + -40n = 49 + -36n Solving -15 + -40n = 49 + -36n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '36n' to each side of the equation. -15 + -40n + 36n = 49 + -36n + 36n Combine like terms: -40n + 36n = -4n -15 + -4n = 49 + -36n + 36n Combine like terms: -36n + 36n = 0 -15 + -4n = 49 + 0 -15 + -4n = 49 Add '15' to each side of the equation. -15 + 15 + -4n = 49 + 15 Combine like terms: -15 + 15 = 0 0 + -4n = 49 + 15 -4n = 49 + 15 Combine like terms: 49 + 15 = 64 -4n = 64 Divide each side by '-4'. n = -16 Simplifying n = -16
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