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Simplifying -4 + 4(2n + -7) = 2 + -2n Reorder the terms: -4 + 4(-7 + 2n) = 2 + -2n -4 + (-7 * 4 + 2n * 4) = 2 + -2n -4 + (-28 + 8n) = 2 + -2n Combine like terms: -4 + -28 = -32 -32 + 8n = 2 + -2n Solving -32 + 8n = 2 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -32 + 8n + 2n = 2 + -2n + 2n Combine like terms: 8n + 2n = 10n -32 + 10n = 2 + -2n + 2n Combine like terms: -2n + 2n = 0 -32 + 10n = 2 + 0 -32 + 10n = 2 Add '32' to each side of the equation. -32 + 32 + 10n = 2 + 32 Combine like terms: -32 + 32 = 0 0 + 10n = 2 + 32 10n = 2 + 32 Combine like terms: 2 + 32 = 34 10n = 34 Divide each side by '10'. n = 3.4 Simplifying n = 3.4
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