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Simplifying -33 + -1n = 5(n + 3) Reorder the terms: -33 + -1n = 5(3 + n) -33 + -1n = (3 * 5 + n * 5) -33 + -1n = (15 + 5n) Solving -33 + -1n = 15 + 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. -33 + -1n + -5n = 15 + 5n + -5n Combine like terms: -1n + -5n = -6n -33 + -6n = 15 + 5n + -5n Combine like terms: 5n + -5n = 0 -33 + -6n = 15 + 0 -33 + -6n = 15 Add '33' to each side of the equation. -33 + 33 + -6n = 15 + 33 Combine like terms: -33 + 33 = 0 0 + -6n = 15 + 33 -6n = 15 + 33 Combine like terms: 15 + 33 = 48 -6n = 48 Divide each side by '-6'. n = -8 Simplifying n = -8
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