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Simplifying 4(1 + 10n) = 7 + -3(n + 1) (1 * 4 + 10n * 4) = 7 + -3(n + 1) (4 + 40n) = 7 + -3(n + 1) Reorder the terms: 4 + 40n = 7 + -3(1 + n) 4 + 40n = 7 + (1 * -3 + n * -3) 4 + 40n = 7 + (-3 + -3n) Combine like terms: 7 + -3 = 4 4 + 40n = 4 + -3n Add '-4' to each side of the equation. 4 + -4 + 40n = 4 + -4 + -3n Combine like terms: 4 + -4 = 0 0 + 40n = 4 + -4 + -3n 40n = 4 + -4 + -3n Combine like terms: 4 + -4 = 0 40n = 0 + -3n 40n = -3n Solving 40n = -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. 40n + 3n = -3n + 3n Combine like terms: 40n + 3n = 43n 43n = -3n + 3n Combine like terms: -3n + 3n = 0 43n = 0 Divide each side by '43'. n = 0 Simplifying n = 0
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