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Simplifying 4n + -8n + 7 + -6n = -29 + 2n + -60 Reorder the terms: 7 + 4n + -8n + -6n = -29 + 2n + -60 Combine like terms: 4n + -8n = -4n 7 + -4n + -6n = -29 + 2n + -60 Combine like terms: -4n + -6n = -10n 7 + -10n = -29 + 2n + -60 Reorder the terms: 7 + -10n = -29 + -60 + 2n Combine like terms: -29 + -60 = -89 7 + -10n = -89 + 2n Solving 7 + -10n = -89 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 7 + -10n + -2n = -89 + 2n + -2n Combine like terms: -10n + -2n = -12n 7 + -12n = -89 + 2n + -2n Combine like terms: 2n + -2n = 0 7 + -12n = -89 + 0 7 + -12n = -89 Add '-7' to each side of the equation. 7 + -7 + -12n = -89 + -7 Combine like terms: 7 + -7 = 0 0 + -12n = -89 + -7 -12n = -89 + -7 Combine like terms: -89 + -7 = -96 -12n = -96 Divide each side by '-12'. n = 8 Simplifying n = 8
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