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Simplifying -5(n + 8) = -4 + 7n Reorder the terms: -5(8 + n) = -4 + 7n (8 * -5 + n * -5) = -4 + 7n (-40 + -5n) = -4 + 7n Solving -40 + -5n = -4 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -40 + -5n + -7n = -4 + 7n + -7n Combine like terms: -5n + -7n = -12n -40 + -12n = -4 + 7n + -7n Combine like terms: 7n + -7n = 0 -40 + -12n = -4 + 0 -40 + -12n = -4 Add '40' to each side of the equation. -40 + 40 + -12n = -4 + 40 Combine like terms: -40 + 40 = 0 0 + -12n = -4 + 40 -12n = -4 + 40 Combine like terms: -4 + 40 = 36 -12n = 36 Divide each side by '-12'. n = -3 Simplifying n = -3
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