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Simplifying 38 + -4n = -5(n + -7) + 3 Reorder the terms: 38 + -4n = -5(-7 + n) + 3 38 + -4n = (-7 * -5 + n * -5) + 3 38 + -4n = (35 + -5n) + 3 Reorder the terms: 38 + -4n = 35 + 3 + -5n Combine like terms: 35 + 3 = 38 38 + -4n = 38 + -5n Add '-38' to each side of the equation. 38 + -38 + -4n = 38 + -38 + -5n Combine like terms: 38 + -38 = 0 0 + -4n = 38 + -38 + -5n -4n = 38 + -38 + -5n Combine like terms: 38 + -38 = 0 -4n = 0 + -5n -4n = -5n Solving -4n = -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -4n + 5n = -5n + 5n Combine like terms: -4n + 5n = 1n 1n = -5n + 5n Combine like terms: -5n + 5n = 0 1n = 0 Divide each side by '1'. n = 0 Simplifying n = 0
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