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Simplifying 11(-3n + 10) = -8(7n + -4) + 10n Reorder the terms: 11(10 + -3n) = -8(7n + -4) + 10n (10 * 11 + -3n * 11) = -8(7n + -4) + 10n (110 + -33n) = -8(7n + -4) + 10n Reorder the terms: 110 + -33n = -8(-4 + 7n) + 10n 110 + -33n = (-4 * -8 + 7n * -8) + 10n 110 + -33n = (32 + -56n) + 10n Combine like terms: -56n + 10n = -46n 110 + -33n = 32 + -46n Solving 110 + -33n = 32 + -46n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '46n' to each side of the equation. 110 + -33n + 46n = 32 + -46n + 46n Combine like terms: -33n + 46n = 13n 110 + 13n = 32 + -46n + 46n Combine like terms: -46n + 46n = 0 110 + 13n = 32 + 0 110 + 13n = 32 Add '-110' to each side of the equation. 110 + -110 + 13n = 32 + -110 Combine like terms: 110 + -110 = 0 0 + 13n = 32 + -110 13n = 32 + -110 Combine like terms: 32 + -110 = -78 13n = -78 Divide each side by '13'. n = -6 Simplifying n = -6
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