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Simplifying 45 + -3(n) = 5 + n Solving 45 + -3n = 5 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 45 + -3n + -1n = 5 + n + -1n Combine like terms: -3n + -1n = -4n 45 + -4n = 5 + n + -1n Combine like terms: n + -1n = 0 45 + -4n = 5 + 0 45 + -4n = 5 Add '-45' to each side of the equation. 45 + -45 + -4n = 5 + -45 Combine like terms: 45 + -45 = 0 0 + -4n = 5 + -45 -4n = 5 + -45 Combine like terms: 5 + -45 = -40 -4n = -40 Divide each side by '-4'. n = 10 Simplifying n = 10
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