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Simplifying 4(2n + -8) = 6n + -18 Reorder the terms: 4(-8 + 2n) = 6n + -18 (-8 * 4 + 2n * 4) = 6n + -18 (-32 + 8n) = 6n + -18 Reorder the terms: -32 + 8n = -18 + 6n Solving -32 + 8n = -18 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -32 + 8n + -6n = -18 + 6n + -6n Combine like terms: 8n + -6n = 2n -32 + 2n = -18 + 6n + -6n Combine like terms: 6n + -6n = 0 -32 + 2n = -18 + 0 -32 + 2n = -18 Add '32' to each side of the equation. -32 + 32 + 2n = -18 + 32 Combine like terms: -32 + 32 = 0 0 + 2n = -18 + 32 2n = -18 + 32 Combine like terms: -18 + 32 = 14 2n = 14 Divide each side by '2'. n = 7 Simplifying n = 7
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