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Simplifying 4(n + -7) + -8 = 2(2 + -2n) Reorder the terms: 4(-7 + n) + -8 = 2(2 + -2n) (-7 * 4 + n * 4) + -8 = 2(2 + -2n) (-28 + 4n) + -8 = 2(2 + -2n) Reorder the terms: -28 + -8 + 4n = 2(2 + -2n) Combine like terms: -28 + -8 = -36 -36 + 4n = 2(2 + -2n) -36 + 4n = (2 * 2 + -2n * 2) -36 + 4n = (4 + -4n) Solving -36 + 4n = 4 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. -36 + 4n + 4n = 4 + -4n + 4n Combine like terms: 4n + 4n = 8n -36 + 8n = 4 + -4n + 4n Combine like terms: -4n + 4n = 0 -36 + 8n = 4 + 0 -36 + 8n = 4 Add '36' to each side of the equation. -36 + 36 + 8n = 4 + 36 Combine like terms: -36 + 36 = 0 0 + 8n = 4 + 36 8n = 4 + 36 Combine like terms: 4 + 36 = 40 8n = 40 Divide each side by '8'. n = 5 Simplifying n = 5
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