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Simplifying 4n + 5(7n + -3) = 8(n + -5) Reorder the terms: 4n + 5(-3 + 7n) = 8(n + -5) 4n + (-3 * 5 + 7n * 5) = 8(n + -5) 4n + (-15 + 35n) = 8(n + -5) Reorder the terms: -15 + 4n + 35n = 8(n + -5) Combine like terms: 4n + 35n = 39n -15 + 39n = 8(n + -5) Reorder the terms: -15 + 39n = 8(-5 + n) -15 + 39n = (-5 * 8 + n * 8) -15 + 39n = (-40 + 8n) Solving -15 + 39n = -40 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -15 + 39n + -8n = -40 + 8n + -8n Combine like terms: 39n + -8n = 31n -15 + 31n = -40 + 8n + -8n Combine like terms: 8n + -8n = 0 -15 + 31n = -40 + 0 -15 + 31n = -40 Add '15' to each side of the equation. -15 + 15 + 31n = -40 + 15 Combine like terms: -15 + 15 = 0 0 + 31n = -40 + 15 31n = -40 + 15 Combine like terms: -40 + 15 = -25 31n = -25 Divide each side by '31'. n = -0.8064516129 Simplifying n = -0.8064516129
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