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Simplifying 10(n + -10) = -1(4n + 2) Reorder the terms: 10(-10 + n) = -1(4n + 2) (-10 * 10 + n * 10) = -1(4n + 2) (-100 + 10n) = -1(4n + 2) Reorder the terms: -100 + 10n = -1(2 + 4n) -100 + 10n = (2 * -1 + 4n * -1) -100 + 10n = (-2 + -4n) Solving -100 + 10n = -2 + -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. -100 + 10n + 4n = -2 + -4n + 4n Combine like terms: 10n + 4n = 14n -100 + 14n = -2 + -4n + 4n Combine like terms: -4n + 4n = 0 -100 + 14n = -2 + 0 -100 + 14n = -2 Add '100' to each side of the equation. -100 + 100 + 14n = -2 + 100 Combine like terms: -100 + 100 = 0 0 + 14n = -2 + 100 14n = -2 + 100 Combine like terms: -2 + 100 = 98 14n = 98 Divide each side by '14'. n = 7 Simplifying n = 7
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