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Simplifying -5n + -3n = -2(4n + 6) + 3(n + -7) Combine like terms: -5n + -3n = -8n -8n = -2(4n + 6) + 3(n + -7) Reorder the terms: -8n = -2(6 + 4n) + 3(n + -7) -8n = (6 * -2 + 4n * -2) + 3(n + -7) -8n = (-12 + -8n) + 3(n + -7) Reorder the terms: -8n = -12 + -8n + 3(-7 + n) -8n = -12 + -8n + (-7 * 3 + n * 3) -8n = -12 + -8n + (-21 + 3n) Reorder the terms: -8n = -12 + -21 + -8n + 3n Combine like terms: -12 + -21 = -33 -8n = -33 + -8n + 3n Combine like terms: -8n + 3n = -5n -8n = -33 + -5n Solving -8n = -33 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -8n + 5n = -33 + -5n + 5n Combine like terms: -8n + 5n = -3n -3n = -33 + -5n + 5n Combine like terms: -5n + 5n = 0 -3n = -33 + 0 -3n = -33 Divide each side by '-3'. n = 11 Simplifying n = 11
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