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Simplifying 8(4n + 3) + -5 = 7(5n + -4) + -2n Reorder the terms: 8(3 + 4n) + -5 = 7(5n + -4) + -2n (3 * 8 + 4n * 8) + -5 = 7(5n + -4) + -2n (24 + 32n) + -5 = 7(5n + -4) + -2n Reorder the terms: 24 + -5 + 32n = 7(5n + -4) + -2n Combine like terms: 24 + -5 = 19 19 + 32n = 7(5n + -4) + -2n Reorder the terms: 19 + 32n = 7(-4 + 5n) + -2n 19 + 32n = (-4 * 7 + 5n * 7) + -2n 19 + 32n = (-28 + 35n) + -2n Combine like terms: 35n + -2n = 33n 19 + 32n = -28 + 33n Solving 19 + 32n = -28 + 33n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-33n' to each side of the equation. 19 + 32n + -33n = -28 + 33n + -33n Combine like terms: 32n + -33n = -1n 19 + -1n = -28 + 33n + -33n Combine like terms: 33n + -33n = 0 19 + -1n = -28 + 0 19 + -1n = -28 Add '-19' to each side of the equation. 19 + -19 + -1n = -28 + -19 Combine like terms: 19 + -19 = 0 0 + -1n = -28 + -19 -1n = -28 + -19 Combine like terms: -28 + -19 = -47 -1n = -47 Divide each side by '-1'. n = 47 Simplifying n = 47
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