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Simplifying 55 + 2n = 45 + 3n Solving 55 + 2n = 45 + 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. 55 + 2n + -3n = 45 + 3n + -3n Combine like terms: 2n + -3n = -1n 55 + -1n = 45 + 3n + -3n Combine like terms: 3n + -3n = 0 55 + -1n = 45 + 0 55 + -1n = 45 Add '-55' to each side of the equation. 55 + -55 + -1n = 45 + -55 Combine like terms: 55 + -55 = 0 0 + -1n = 45 + -55 -1n = 45 + -55 Combine like terms: 45 + -55 = -10 -1n = -10 Divide each side by '-1'. n = 10 Simplifying n = 10
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