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Simplifying 4(8n + -7) + 3(3 + -5n) = -2 Reorder the terms: 4(-7 + 8n) + 3(3 + -5n) = -2 (-7 * 4 + 8n * 4) + 3(3 + -5n) = -2 (-28 + 32n) + 3(3 + -5n) = -2 -28 + 32n + (3 * 3 + -5n * 3) = -2 -28 + 32n + (9 + -15n) = -2 Reorder the terms: -28 + 9 + 32n + -15n = -2 Combine like terms: -28 + 9 = -19 -19 + 32n + -15n = -2 Combine like terms: 32n + -15n = 17n -19 + 17n = -2 Solving -19 + 17n = -2 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 17n = -2 + 19 Combine like terms: -19 + 19 = 0 0 + 17n = -2 + 19 17n = -2 + 19 Combine like terms: -2 + 19 = 17 17n = 17 Divide each side by '17'. n = 1 Simplifying n = 1
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