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Simplifying 4(8 + -1n) = -2(2 + -7n) (8 * 4 + -1n * 4) = -2(2 + -7n) (32 + -4n) = -2(2 + -7n) 32 + -4n = (2 * -2 + -7n * -2) 32 + -4n = (-4 + 14n) Solving 32 + -4n = -4 + 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. 32 + -4n + -14n = -4 + 14n + -14n Combine like terms: -4n + -14n = -18n 32 + -18n = -4 + 14n + -14n Combine like terms: 14n + -14n = 0 32 + -18n = -4 + 0 32 + -18n = -4 Add '-32' to each side of the equation. 32 + -32 + -18n = -4 + -32 Combine like terms: 32 + -32 = 0 0 + -18n = -4 + -32 -18n = -4 + -32 Combine like terms: -4 + -32 = -36 -18n = -36 Divide each side by '-18'. n = 2 Simplifying n = 2
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