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Simplifying 7(2n + 3) = 2(2n + -6) + 3 Reorder the terms: 7(3 + 2n) = 2(2n + -6) + 3 (3 * 7 + 2n * 7) = 2(2n + -6) + 3 (21 + 14n) = 2(2n + -6) + 3 Reorder the terms: 21 + 14n = 2(-6 + 2n) + 3 21 + 14n = (-6 * 2 + 2n * 2) + 3 21 + 14n = (-12 + 4n) + 3 Reorder the terms: 21 + 14n = -12 + 3 + 4n Combine like terms: -12 + 3 = -9 21 + 14n = -9 + 4n Solving 21 + 14n = -9 + 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 = -9 + 4n + -4n Combine like terms: 14n + -4n = 10n 21 + 10n = -9 + 4n + -4n Combine like terms: 4n + -4n = 0 21 + 10n = -9 + 0 21 + 10n = -9 Add '-21' to each side of the equation. 21 + -21 + 10n = -9 + -21 Combine like terms: 21 + -21 = 0 0 + 10n = -9 + -21 10n = -9 + -21 Combine like terms: -9 + -21 = -30 10n = -30 Divide each side by '10'. n = -3 Simplifying n = -3
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