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Simplifying n + -6 = -10 + 3n Reorder the terms: -6 + n = -10 + 3n Solving -6 + n = -10 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -6 + n + -3n = -10 + 3n + -3n Combine like terms: n + -3n = -2n -6 + -2n = -10 + 3n + -3n Combine like terms: 3n + -3n = 0 -6 + -2n = -10 + 0 -6 + -2n = -10 Add '6' to each side of the equation. -6 + 6 + -2n = -10 + 6 Combine like terms: -6 + 6 = 0 0 + -2n = -10 + 6 -2n = -10 + 6 Combine like terms: -10 + 6 = -4 -2n = -4 Divide each side by '-2'. n = 2 Simplifying n = 2
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