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Simplifying 4(2n + 3) = -4n + -4(n + -7) Reorder the terms: 4(3 + 2n) = -4n + -4(n + -7) (3 * 4 + 2n * 4) = -4n + -4(n + -7) (12 + 8n) = -4n + -4(n + -7) Reorder the terms: 12 + 8n = -4n + -4(-7 + n) 12 + 8n = -4n + (-7 * -4 + n * -4) 12 + 8n = -4n + (28 + -4n) Reorder the terms: 12 + 8n = 28 + -4n + -4n Combine like terms: -4n + -4n = -8n 12 + 8n = 28 + -8n Solving 12 + 8n = 28 + -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. 12 + 8n + 8n = 28 + -8n + 8n Combine like terms: 8n + 8n = 16n 12 + 16n = 28 + -8n + 8n Combine like terms: -8n + 8n = 0 12 + 16n = 28 + 0 12 + 16n = 28 Add '-12' to each side of the equation. 12 + -12 + 16n = 28 + -12 Combine like terms: 12 + -12 = 0 0 + 16n = 28 + -12 16n = 28 + -12 Combine like terms: 28 + -12 = 16 16n = 16 Divide each side by '16'. n = 1 Simplifying n = 1
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