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Simplifying 2 + 3(n + -6) = 4(n + 2) + -21 Reorder the terms: 2 + 3(-6 + n) = 4(n + 2) + -21 2 + (-6 * 3 + n * 3) = 4(n + 2) + -21 2 + (-18 + 3n) = 4(n + 2) + -21 Combine like terms: 2 + -18 = -16 -16 + 3n = 4(n + 2) + -21 Reorder the terms: -16 + 3n = 4(2 + n) + -21 -16 + 3n = (2 * 4 + n * 4) + -21 -16 + 3n = (8 + 4n) + -21 Reorder the terms: -16 + 3n = 8 + -21 + 4n Combine like terms: 8 + -21 = -13 -16 + 3n = -13 + 4n Solving -16 + 3n = -13 + 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. -16 + 3n + -4n = -13 + 4n + -4n Combine like terms: 3n + -4n = -1n -16 + -1n = -13 + 4n + -4n Combine like terms: 4n + -4n = 0 -16 + -1n = -13 + 0 -16 + -1n = -13 Add '16' to each side of the equation. -16 + 16 + -1n = -13 + 16 Combine like terms: -16 + 16 = 0 0 + -1n = -13 + 16 -1n = -13 + 16 Combine like terms: -13 + 16 = 3 -1n = 3 Divide each side by '-1'. n = -3 Simplifying n = -3
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