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Simplifying 8(-7n + -5) = 2(3 + -5n) Reorder the terms: 8(-5 + -7n) = 2(3 + -5n) (-5 * 8 + -7n * 8) = 2(3 + -5n) (-40 + -56n) = 2(3 + -5n) -40 + -56n = (3 * 2 + -5n * 2) -40 + -56n = (6 + -10n) Solving -40 + -56n = 6 + -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. -40 + -56n + 10n = 6 + -10n + 10n Combine like terms: -56n + 10n = -46n -40 + -46n = 6 + -10n + 10n Combine like terms: -10n + 10n = 0 -40 + -46n = 6 + 0 -40 + -46n = 6 Add '40' to each side of the equation. -40 + 40 + -46n = 6 + 40 Combine like terms: -40 + 40 = 0 0 + -46n = 6 + 40 -46n = 6 + 40 Combine like terms: 6 + 40 = 46 -46n = 46 Divide each side by '-46'. n = -1 Simplifying n = -1
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