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Simplifying 12 + 18 + -1n + 3 = 5 + 3n Reorder the terms: 12 + 18 + 3 + -1n = 5 + 3n Combine like terms: 12 + 18 = 30 30 + 3 + -1n = 5 + 3n Combine like terms: 30 + 3 = 33 33 + -1n = 5 + 3n Solving 33 + -1n = 5 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 33 + -1n + -3n = 5 + 3n + -3n Combine like terms: -1n + -3n = -4n 33 + -4n = 5 + 3n + -3n Combine like terms: 3n + -3n = 0 33 + -4n = 5 + 0 33 + -4n = 5 Add '-33' to each side of the equation. 33 + -33 + -4n = 5 + -33 Combine like terms: 33 + -33 = 0 0 + -4n = 5 + -33 -4n = 5 + -33 Combine like terms: 5 + -33 = -28 -4n = -28 Divide each side by '-4'. n = 7 Simplifying n = 7
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