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Simplifying 4n + -40 = 7(-2n + 2) Reorder the terms: -40 + 4n = 7(-2n + 2) Reorder the terms: -40 + 4n = 7(2 + -2n) -40 + 4n = (2 * 7 + -2n * 7) -40 + 4n = (14 + -14n) Solving -40 + 4n = 14 + -14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14n' to each side of the equation. -40 + 4n + 14n = 14 + -14n + 14n Combine like terms: 4n + 14n = 18n -40 + 18n = 14 + -14n + 14n Combine like terms: -14n + 14n = 0 -40 + 18n = 14 + 0 -40 + 18n = 14 Add '40' to each side of the equation. -40 + 40 + 18n = 14 + 40 Combine like terms: -40 + 40 = 0 0 + 18n = 14 + 40 18n = 14 + 40 Combine like terms: 14 + 40 = 54 18n = 54 Divide each side by '18'. n = 3 Simplifying n = 3
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