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Simplifying 40 + n = 10 + (n * 4) Reorder the terms for easier multiplication: 40 + n = 10 + (4n) Solving 40 + n = 10 + (4n) Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '(-4n)' to each side of the equation. 40 + n + (-4n) = 10 + (4n) + (-4n) Combine like terms: n + (-4n) = -3n 40 + -3n = 10 + (4n) + (-4n) Combine like terms: (4n) + (-4n) = 0 40 + -3n = 10 + 0 40 + -3n = 10 Add '-40' to each side of the equation. 40 + -40 + -3n = 10 + -40 Combine like terms: 40 + -40 = 0 0 + -3n = 10 + -40 -3n = 10 + -40 Combine like terms: 10 + -40 = -30 -3n = -30 Divide each side by '-3'. n = 10 Simplifying n = 10
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