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Simplifying -4n + 15 + -10n + 9 = n + -46 Reorder the terms: 15 + 9 + -4n + -10n = n + -46 Combine like terms: 15 + 9 = 24 24 + -4n + -10n = n + -46 Combine like terms: -4n + -10n = -14n 24 + -14n = n + -46 Reorder the terms: 24 + -14n = -46 + n Solving 24 + -14n = -46 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 24 + -14n + -1n = -46 + n + -1n Combine like terms: -14n + -1n = -15n 24 + -15n = -46 + n + -1n Combine like terms: n + -1n = 0 24 + -15n = -46 + 0 24 + -15n = -46 Add '-24' to each side of the equation. 24 + -24 + -15n = -46 + -24 Combine like terms: 24 + -24 = 0 0 + -15n = -46 + -24 -15n = -46 + -24 Combine like terms: -46 + -24 = -70 -15n = -70 Divide each side by '-15'. n = 4.666666667 Simplifying n = 4.666666667
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