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Simplifying 8(-5 + 4n) = -4(n + 1) (-5 * 8 + 4n * 8) = -4(n + 1) (-40 + 32n) = -4(n + 1) Reorder the terms: -40 + 32n = -4(1 + n) -40 + 32n = (1 * -4 + n * -4) -40 + 32n = (-4 + -4n) Solving -40 + 32n = -4 + -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. -40 + 32n + 4n = -4 + -4n + 4n Combine like terms: 32n + 4n = 36n -40 + 36n = -4 + -4n + 4n Combine like terms: -4n + 4n = 0 -40 + 36n = -4 + 0 -40 + 36n = -4 Add '40' to each side of the equation. -40 + 40 + 36n = -4 + 40 Combine like terms: -40 + 40 = 0 0 + 36n = -4 + 40 36n = -4 + 40 Combine like terms: -4 + 40 = 36 36n = 36 Divide each side by '36'. n = 1 Simplifying n = 1
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