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Simplifying 3(8 + -12n) + 8(3 + -3n) = n + 5 + -9 (8 * 3 + -12n * 3) + 8(3 + -3n) = n + 5 + -9 (24 + -36n) + 8(3 + -3n) = n + 5 + -9 24 + -36n + (3 * 8 + -3n * 8) = n + 5 + -9 24 + -36n + (24 + -24n) = n + 5 + -9 Reorder the terms: 24 + 24 + -36n + -24n = n + 5 + -9 Combine like terms: 24 + 24 = 48 48 + -36n + -24n = n + 5 + -9 Combine like terms: -36n + -24n = -60n 48 + -60n = n + 5 + -9 Reorder the terms: 48 + -60n = 5 + -9 + n Combine like terms: 5 + -9 = -4 48 + -60n = -4 + n Solving 48 + -60n = -4 + 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. 48 + -60n + -1n = -4 + n + -1n Combine like terms: -60n + -1n = -61n 48 + -61n = -4 + n + -1n Combine like terms: n + -1n = 0 48 + -61n = -4 + 0 48 + -61n = -4 Add '-48' to each side of the equation. 48 + -48 + -61n = -4 + -48 Combine like terms: 48 + -48 = 0 0 + -61n = -4 + -48 -61n = -4 + -48 Combine like terms: -4 + -48 = -52 -61n = -52 Divide each side by '-61'. n = 0.8524590164 Simplifying n = 0.8524590164
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