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Simplifying 4n + 4(7n + -3) = 9(n + -5) Reorder the terms: 4n + 4(-3 + 7n) = 9(n + -5) 4n + (-3 * 4 + 7n * 4) = 9(n + -5) 4n + (-12 + 28n) = 9(n + -5) Reorder the terms: -12 + 4n + 28n = 9(n + -5) Combine like terms: 4n + 28n = 32n -12 + 32n = 9(n + -5) Reorder the terms: -12 + 32n = 9(-5 + n) -12 + 32n = (-5 * 9 + n * 9) -12 + 32n = (-45 + 9n) Solving -12 + 32n = -45 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -12 + 32n + -9n = -45 + 9n + -9n Combine like terms: 32n + -9n = 23n -12 + 23n = -45 + 9n + -9n Combine like terms: 9n + -9n = 0 -12 + 23n = -45 + 0 -12 + 23n = -45 Add '12' to each side of the equation. -12 + 12 + 23n = -45 + 12 Combine like terms: -12 + 12 = 0 0 + 23n = -45 + 12 23n = -45 + 12 Combine like terms: -45 + 12 = -33 23n = -33 Divide each side by '23'. n = -1.434782609 Simplifying n = -1.434782609
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