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Simplifying 8(n + -4) = -3n + 5(3n + -8) Reorder the terms: 8(-4 + n) = -3n + 5(3n + -8) (-4 * 8 + n * 8) = -3n + 5(3n + -8) (-32 + 8n) = -3n + 5(3n + -8) Reorder the terms: -32 + 8n = -3n + 5(-8 + 3n) -32 + 8n = -3n + (-8 * 5 + 3n * 5) -32 + 8n = -3n + (-40 + 15n) Reorder the terms: -32 + 8n = -40 + -3n + 15n Combine like terms: -3n + 15n = 12n -32 + 8n = -40 + 12n Solving -32 + 8n = -40 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. -32 + 8n + -12n = -40 + 12n + -12n Combine like terms: 8n + -12n = -4n -32 + -4n = -40 + 12n + -12n Combine like terms: 12n + -12n = 0 -32 + -4n = -40 + 0 -32 + -4n = -40 Add '32' to each side of the equation. -32 + 32 + -4n = -40 + 32 Combine like terms: -32 + 32 = 0 0 + -4n = -40 + 32 -4n = -40 + 32 Combine like terms: -40 + 32 = -8 -4n = -8 Divide each side by '-4'. n = 2 Simplifying n = 2
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