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Simplifying 10 + -1n + -6n = -2 + -4n Combine like terms: -1n + -6n = -7n 10 + -7n = -2 + -4n Solving 10 + -7n = -2 + -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. 10 + -7n + 4n = -2 + -4n + 4n Combine like terms: -7n + 4n = -3n 10 + -3n = -2 + -4n + 4n Combine like terms: -4n + 4n = 0 10 + -3n = -2 + 0 10 + -3n = -2 Add '-10' to each side of the equation. 10 + -10 + -3n = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -3n = -2 + -10 -3n = -2 + -10 Combine like terms: -2 + -10 = -12 -3n = -12 Divide each side by '-3'. n = 4 Simplifying n = 4
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