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Simplifying -2 + -6(8n + 5) = 18 + 2n Reorder the terms: -2 + -6(5 + 8n) = 18 + 2n -2 + (5 * -6 + 8n * -6) = 18 + 2n -2 + (-30 + -48n) = 18 + 2n Combine like terms: -2 + -30 = -32 -32 + -48n = 18 + 2n Solving -32 + -48n = 18 + 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 + -48n + -2n = 18 + 2n + -2n Combine like terms: -48n + -2n = -50n -32 + -50n = 18 + 2n + -2n Combine like terms: 2n + -2n = 0 -32 + -50n = 18 + 0 -32 + -50n = 18 Add '32' to each side of the equation. -32 + 32 + -50n = 18 + 32 Combine like terms: -32 + 32 = 0 0 + -50n = 18 + 32 -50n = 18 + 32 Combine like terms: 18 + 32 = 50 -50n = 50 Divide each side by '-50'. n = -1 Simplifying n = -1
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