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Simplifying 5(n + -3) = 3(2n + 3) Reorder the terms: 5(-3 + n) = 3(2n + 3) (-3 * 5 + n * 5) = 3(2n + 3) (-15 + 5n) = 3(2n + 3) Reorder the terms: -15 + 5n = 3(3 + 2n) -15 + 5n = (3 * 3 + 2n * 3) -15 + 5n = (9 + 6n) Solving -15 + 5n = 9 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -15 + 5n + -6n = 9 + 6n + -6n Combine like terms: 5n + -6n = -1n -15 + -1n = 9 + 6n + -6n Combine like terms: 6n + -6n = 0 -15 + -1n = 9 + 0 -15 + -1n = 9 Add '15' to each side of the equation. -15 + 15 + -1n = 9 + 15 Combine like terms: -15 + 15 = 0 0 + -1n = 9 + 15 -1n = 9 + 15 Combine like terms: 9 + 15 = 24 -1n = 24 Divide each side by '-1'. n = -24 Simplifying n = -24
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