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Simplifying 3(2n + -7) = 10n + -9 Reorder the terms: 3(-7 + 2n) = 10n + -9 (-7 * 3 + 2n * 3) = 10n + -9 (-21 + 6n) = 10n + -9 Reorder the terms: -21 + 6n = -9 + 10n Solving -21 + 6n = -9 + 10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-10n' to each side of the equation. -21 + 6n + -10n = -9 + 10n + -10n Combine like terms: 6n + -10n = -4n -21 + -4n = -9 + 10n + -10n Combine like terms: 10n + -10n = 0 -21 + -4n = -9 + 0 -21 + -4n = -9 Add '21' to each side of the equation. -21 + 21 + -4n = -9 + 21 Combine like terms: -21 + 21 = 0 0 + -4n = -9 + 21 -4n = -9 + 21 Combine like terms: -9 + 21 = 12 -4n = 12 Divide each side by '-4'. n = -3 Simplifying n = -3
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