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Simplifying -21 + -4n = 2(n + -6) + 3n Reorder the terms: -21 + -4n = 2(-6 + n) + 3n -21 + -4n = (-6 * 2 + n * 2) + 3n -21 + -4n = (-12 + 2n) + 3n Combine like terms: 2n + 3n = 5n -21 + -4n = -12 + 5n Solving -21 + -4n = -12 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -21 + -4n + -5n = -12 + 5n + -5n Combine like terms: -4n + -5n = -9n -21 + -9n = -12 + 5n + -5n Combine like terms: 5n + -5n = 0 -21 + -9n = -12 + 0 -21 + -9n = -12 Add '21' to each side of the equation. -21 + 21 + -9n = -12 + 21 Combine like terms: -21 + 21 = 0 0 + -9n = -12 + 21 -9n = -12 + 21 Combine like terms: -12 + 21 = 9 -9n = 9 Divide each side by '-9'. n = -1 Simplifying n = -1
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