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Simplifying 21 + 3n = -8(4 + -7n) 21 + 3n = (4 * -8 + -7n * -8) 21 + 3n = (-32 + 56n) Solving 21 + 3n = -32 + 56n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-56n' to each side of the equation. 21 + 3n + -56n = -32 + 56n + -56n Combine like terms: 3n + -56n = -53n 21 + -53n = -32 + 56n + -56n Combine like terms: 56n + -56n = 0 21 + -53n = -32 + 0 21 + -53n = -32 Add '-21' to each side of the equation. 21 + -21 + -53n = -32 + -21 Combine like terms: 21 + -21 = 0 0 + -53n = -32 + -21 -53n = -32 + -21 Combine like terms: -32 + -21 = -53 -53n = -53 Divide each side by '-53'. n = 1 Simplifying n = 1
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