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Simplifying 7(2n + -3) = 4n + 19 Reorder the terms: 7(-3 + 2n) = 4n + 19 (-3 * 7 + 2n * 7) = 4n + 19 (-21 + 14n) = 4n + 19 Reorder the terms: -21 + 14n = 19 + 4n Solving -21 + 14n = 19 + 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. -21 + 14n + -4n = 19 + 4n + -4n Combine like terms: 14n + -4n = 10n -21 + 10n = 19 + 4n + -4n Combine like terms: 4n + -4n = 0 -21 + 10n = 19 + 0 -21 + 10n = 19 Add '21' to each side of the equation. -21 + 21 + 10n = 19 + 21 Combine like terms: -21 + 21 = 0 0 + 10n = 19 + 21 10n = 19 + 21 Combine like terms: 19 + 21 = 40 10n = 40 Divide each side by '10'. n = 4 Simplifying n = 4
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