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Simplifying -6n + -2(-6n + 8) = -2 + -4(8n + -6) Reorder the terms: -6n + -2(8 + -6n) = -2 + -4(8n + -6) -6n + (8 * -2 + -6n * -2) = -2 + -4(8n + -6) -6n + (-16 + 12n) = -2 + -4(8n + -6) Reorder the terms: -16 + -6n + 12n = -2 + -4(8n + -6) Combine like terms: -6n + 12n = 6n -16 + 6n = -2 + -4(8n + -6) Reorder the terms: -16 + 6n = -2 + -4(-6 + 8n) -16 + 6n = -2 + (-6 * -4 + 8n * -4) -16 + 6n = -2 + (24 + -32n) Combine like terms: -2 + 24 = 22 -16 + 6n = 22 + -32n Solving -16 + 6n = 22 + -32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '32n' to each side of the equation. -16 + 6n + 32n = 22 + -32n + 32n Combine like terms: 6n + 32n = 38n -16 + 38n = 22 + -32n + 32n Combine like terms: -32n + 32n = 0 -16 + 38n = 22 + 0 -16 + 38n = 22 Add '16' to each side of the equation. -16 + 16 + 38n = 22 + 16 Combine like terms: -16 + 16 = 0 0 + 38n = 22 + 16 38n = 22 + 16 Combine like terms: 22 + 16 = 38 38n = 38 Divide each side by '38'. n = 1 Simplifying n = 1
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