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Simplifying 4n + -470 = 7(-2n + 2) Reorder the terms: -470 + 4n = 7(-2n + 2) Reorder the terms: -470 + 4n = 7(2 + -2n) -470 + 4n = (2 * 7 + -2n * 7) -470 + 4n = (14 + -14n) Solving -470 + 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. -470 + 4n + 14n = 14 + -14n + 14n Combine like terms: 4n + 14n = 18n -470 + 18n = 14 + -14n + 14n Combine like terms: -14n + 14n = 0 -470 + 18n = 14 + 0 -470 + 18n = 14 Add '470' to each side of the equation. -470 + 470 + 18n = 14 + 470 Combine like terms: -470 + 470 = 0 0 + 18n = 14 + 470 18n = 14 + 470 Combine like terms: 14 + 470 = 484 18n = 484 Divide each side by '18'. n = 26.88888889 Simplifying n = 26.88888889
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