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Simplifying -21 + 6n = 3n + 3(-4 + 2n) -21 + 6n = 3n + (-4 * 3 + 2n * 3) -21 + 6n = 3n + (-12 + 6n) Reorder the terms: -21 + 6n = -12 + 3n + 6n Combine like terms: 3n + 6n = 9n -21 + 6n = -12 + 9n Solving -21 + 6n = -12 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -21 + 6n + -9n = -12 + 9n + -9n Combine like terms: 6n + -9n = -3n -21 + -3n = -12 + 9n + -9n Combine like terms: 9n + -9n = 0 -21 + -3n = -12 + 0 -21 + -3n = -12 Add '21' to each side of the equation. -21 + 21 + -3n = -12 + 21 Combine like terms: -21 + 21 = 0 0 + -3n = -12 + 21 -3n = -12 + 21 Combine like terms: -12 + 21 = 9 -3n = 9 Divide each side by '-3'. n = -3 Simplifying n = -3
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