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Simplifying 10(9n + 4) = -5(7n + 96) Reorder the terms: 10(4 + 9n) = -5(7n + 96) (4 * 10 + 9n * 10) = -5(7n + 96) (40 + 90n) = -5(7n + 96) Reorder the terms: 40 + 90n = -5(96 + 7n) 40 + 90n = (96 * -5 + 7n * -5) 40 + 90n = (-480 + -35n) Solving 40 + 90n = -480 + -35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '35n' to each side of the equation. 40 + 90n + 35n = -480 + -35n + 35n Combine like terms: 90n + 35n = 125n 40 + 125n = -480 + -35n + 35n Combine like terms: -35n + 35n = 0 40 + 125n = -480 + 0 40 + 125n = -480 Add '-40' to each side of the equation. 40 + -40 + 125n = -480 + -40 Combine like terms: 40 + -40 = 0 0 + 125n = -480 + -40 125n = -480 + -40 Combine like terms: -480 + -40 = -520 125n = -520 Divide each side by '125'. n = -4.16 Simplifying n = -4.16
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