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Simplifying -8 + 4n = 6n + -1(12 + 10) Combine like terms: 12 + 10 = 22 -8 + 4n = 6n + -1(22) Multiply -1 * 22 -8 + 4n = 6n + -22 Reorder the terms: -8 + 4n = -22 + 6n Solving -8 + 4n = -22 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -8 + 4n + -6n = -22 + 6n + -6n Combine like terms: 4n + -6n = -2n -8 + -2n = -22 + 6n + -6n Combine like terms: 6n + -6n = 0 -8 + -2n = -22 + 0 -8 + -2n = -22 Add '8' to each side of the equation. -8 + 8 + -2n = -22 + 8 Combine like terms: -8 + 8 = 0 0 + -2n = -22 + 8 -2n = -22 + 8 Combine like terms: -22 + 8 = -14 -2n = -14 Divide each side by '-2'. n = 7 Simplifying n = 7
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