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Simplifying 8(n + -5) + 4 = 7 + -1(-2 + n) Reorder the terms: 8(-5 + n) + 4 = 7 + -1(-2 + n) (-5 * 8 + n * 8) + 4 = 7 + -1(-2 + n) (-40 + 8n) + 4 = 7 + -1(-2 + n) Reorder the terms: -40 + 4 + 8n = 7 + -1(-2 + n) Combine like terms: -40 + 4 = -36 -36 + 8n = 7 + -1(-2 + n) -36 + 8n = 7 + (-2 * -1 + n * -1) -36 + 8n = 7 + (2 + -1n) Combine like terms: 7 + 2 = 9 -36 + 8n = 9 + -1n Solving -36 + 8n = 9 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -36 + 8n + n = 9 + -1n + n Combine like terms: 8n + n = 9n -36 + 9n = 9 + -1n + n Combine like terms: -1n + n = 0 -36 + 9n = 9 + 0 -36 + 9n = 9 Add '36' to each side of the equation. -36 + 36 + 9n = 9 + 36 Combine like terms: -36 + 36 = 0 0 + 9n = 9 + 36 9n = 9 + 36 Combine like terms: 9 + 36 = 45 9n = 45 Divide each side by '9'. n = 5 Simplifying n = 5
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