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Simplifying 8 + 8(4n + -6) = -5(8 + 2n) Reorder the terms: 8 + 8(-6 + 4n) = -5(8 + 2n) 8 + (-6 * 8 + 4n * 8) = -5(8 + 2n) 8 + (-48 + 32n) = -5(8 + 2n) Combine like terms: 8 + -48 = -40 -40 + 32n = -5(8 + 2n) -40 + 32n = (8 * -5 + 2n * -5) -40 + 32n = (-40 + -10n) Add '40' to each side of the equation. -40 + 40 + 32n = -40 + 40 + -10n Combine like terms: -40 + 40 = 0 0 + 32n = -40 + 40 + -10n 32n = -40 + 40 + -10n Combine like terms: -40 + 40 = 0 32n = 0 + -10n 32n = -10n Solving 32n = -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. 32n + 10n = -10n + 10n Combine like terms: 32n + 10n = 42n 42n = -10n + 10n Combine like terms: -10n + 10n = 0 42n = 0 Divide each side by '42'. n = 0 Simplifying n = 0
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