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Simplifying 6 + 2n = -10 + 4n Solving 6 + 2n = -10 + 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. 6 + 2n + -4n = -10 + 4n + -4n Combine like terms: 2n + -4n = -2n 6 + -2n = -10 + 4n + -4n Combine like terms: 4n + -4n = 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 = -16 -2n = -16 Divide each side by '-2'. n = 8 Simplifying n = 8
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