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Simplifying 7(8n + -11) = 5(2n + 3) Reorder the terms: 7(-11 + 8n) = 5(2n + 3) (-11 * 7 + 8n * 7) = 5(2n + 3) (-77 + 56n) = 5(2n + 3) Reorder the terms: -77 + 56n = 5(3 + 2n) -77 + 56n = (3 * 5 + 2n * 5) -77 + 56n = (15 + 10n) Solving -77 + 56n = 15 + 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. -77 + 56n + -10n = 15 + 10n + -10n Combine like terms: 56n + -10n = 46n -77 + 46n = 15 + 10n + -10n Combine like terms: 10n + -10n = 0 -77 + 46n = 15 + 0 -77 + 46n = 15 Add '77' to each side of the equation. -77 + 77 + 46n = 15 + 77 Combine like terms: -77 + 77 = 0 0 + 46n = 15 + 77 46n = 15 + 77 Combine like terms: 15 + 77 = 92 46n = 92 Divide each side by '46'. n = 2 Simplifying n = 2
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