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Simplifying -4(n + 8) + -6 = 10n + -2(9n + -7) Reorder the terms: -4(8 + n) + -6 = 10n + -2(9n + -7) (8 * -4 + n * -4) + -6 = 10n + -2(9n + -7) (-32 + -4n) + -6 = 10n + -2(9n + -7) Reorder the terms: -32 + -6 + -4n = 10n + -2(9n + -7) Combine like terms: -32 + -6 = -38 -38 + -4n = 10n + -2(9n + -7) Reorder the terms: -38 + -4n = 10n + -2(-7 + 9n) -38 + -4n = 10n + (-7 * -2 + 9n * -2) -38 + -4n = 10n + (14 + -18n) Reorder the terms: -38 + -4n = 14 + 10n + -18n Combine like terms: 10n + -18n = -8n -38 + -4n = 14 + -8n Solving -38 + -4n = 14 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. -38 + -4n + 8n = 14 + -8n + 8n Combine like terms: -4n + 8n = 4n -38 + 4n = 14 + -8n + 8n Combine like terms: -8n + 8n = 0 -38 + 4n = 14 + 0 -38 + 4n = 14 Add '38' to each side of the equation. -38 + 38 + 4n = 14 + 38 Combine like terms: -38 + 38 = 0 0 + 4n = 14 + 38 4n = 14 + 38 Combine like terms: 14 + 38 = 52 4n = 52 Divide each side by '4'. n = 13 Simplifying n = 13
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