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Simplifying 5(3n + -8) = -3 + -4(8 + -5n) Reorder the terms: 5(-8 + 3n) = -3 + -4(8 + -5n) (-8 * 5 + 3n * 5) = -3 + -4(8 + -5n) (-40 + 15n) = -3 + -4(8 + -5n) -40 + 15n = -3 + (8 * -4 + -5n * -4) -40 + 15n = -3 + (-32 + 20n) Combine like terms: -3 + -32 = -35 -40 + 15n = -35 + 20n Solving -40 + 15n = -35 + 20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20n' to each side of the equation. -40 + 15n + -20n = -35 + 20n + -20n Combine like terms: 15n + -20n = -5n -40 + -5n = -35 + 20n + -20n Combine like terms: 20n + -20n = 0 -40 + -5n = -35 + 0 -40 + -5n = -35 Add '40' to each side of the equation. -40 + 40 + -5n = -35 + 40 Combine like terms: -40 + 40 = 0 0 + -5n = -35 + 40 -5n = -35 + 40 Combine like terms: -35 + 40 = 5 -5n = 5 Divide each side by '-5'. n = -1 Simplifying n = -1
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