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Simplifying 4(-4n + 8) + -2n = -24 + -4n Reorder the terms: 4(8 + -4n) + -2n = -24 + -4n (8 * 4 + -4n * 4) + -2n = -24 + -4n (32 + -16n) + -2n = -24 + -4n Combine like terms: -16n + -2n = -18n 32 + -18n = -24 + -4n Solving 32 + -18n = -24 + -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. 32 + -18n + 4n = -24 + -4n + 4n Combine like terms: -18n + 4n = -14n 32 + -14n = -24 + -4n + 4n Combine like terms: -4n + 4n = 0 32 + -14n = -24 + 0 32 + -14n = -24 Add '-32' to each side of the equation. 32 + -32 + -14n = -24 + -32 Combine like terms: 32 + -32 = 0 0 + -14n = -24 + -32 -14n = -24 + -32 Combine like terms: -24 + -32 = -56 -14n = -56 Divide each side by '-14'. n = 4 Simplifying n = 4
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