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Simplifying 7n + -4 = 8(n + -5) + 8n Reorder the terms: -4 + 7n = 8(n + -5) + 8n Reorder the terms: -4 + 7n = 8(-5 + n) + 8n -4 + 7n = (-5 * 8 + n * 8) + 8n -4 + 7n = (-40 + 8n) + 8n Combine like terms: 8n + 8n = 16n -4 + 7n = -40 + 16n Solving -4 + 7n = -40 + 16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16n' to each side of the equation. -4 + 7n + -16n = -40 + 16n + -16n Combine like terms: 7n + -16n = -9n -4 + -9n = -40 + 16n + -16n Combine like terms: 16n + -16n = 0 -4 + -9n = -40 + 0 -4 + -9n = -40 Add '4' to each side of the equation. -4 + 4 + -9n = -40 + 4 Combine like terms: -4 + 4 = 0 0 + -9n = -40 + 4 -9n = -40 + 4 Combine like terms: -40 + 4 = -36 -9n = -36 Divide each side by '-9'. n = 4 Simplifying n = 4
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