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Simplifying -38 + -4n = -5(n + 7) Reorder the terms: -38 + -4n = -5(7 + n) -38 + -4n = (7 * -5 + n * -5) -38 + -4n = (-35 + -5n) Solving -38 + -4n = -35 + -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. -38 + -4n + 5n = -35 + -5n + 5n Combine like terms: -4n + 5n = 1n -38 + 1n = -35 + -5n + 5n Combine like terms: -5n + 5n = 0 -38 + 1n = -35 + 0 -38 + 1n = -35 Add '38' to each side of the equation. -38 + 38 + 1n = -35 + 38 Combine like terms: -38 + 38 = 0 0 + 1n = -35 + 38 1n = -35 + 38 Combine like terms: -35 + 38 = 3 1n = 3 Divide each side by '1'. n = 3 Simplifying n = 3
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