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Simplifying 1 + -8n + 3n = -6 + -4n Combine like terms: -8n + 3n = -5n 1 + -5n = -6 + -4n Solving 1 + -5n = -6 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 1 + -5n + 4n = -6 + -4n + 4n Combine like terms: -5n + 4n = -1n 1 + -1n = -6 + -4n + 4n Combine like terms: -4n + 4n = 0 1 + -1n = -6 + 0 1 + -1n = -6 Add '-1' to each side of the equation. 1 + -1 + -1n = -6 + -1 Combine like terms: 1 + -1 = 0 0 + -1n = -6 + -1 -1n = -6 + -1 Combine like terms: -6 + -1 = -7 -1n = -7 Divide each side by '-1'. n = 7 Simplifying n = 7
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