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Simplifying -0.5(2 + 4n) = 7(-2 + -4n) (2 * -0.5 + 4n * -0.5) = 7(-2 + -4n) (-1 + -2n) = 7(-2 + -4n) -1 + -2n = (-2 * 7 + -4n * 7) -1 + -2n = (-14 + -28n) Solving -1 + -2n = -14 + -28n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '28n' to each side of the equation. -1 + -2n + 28n = -14 + -28n + 28n Combine like terms: -2n + 28n = 26n -1 + 26n = -14 + -28n + 28n Combine like terms: -28n + 28n = 0 -1 + 26n = -14 + 0 -1 + 26n = -14 Add '1' to each side of the equation. -1 + 1 + 26n = -14 + 1 Combine like terms: -1 + 1 = 0 0 + 26n = -14 + 1 26n = -14 + 1 Combine like terms: -14 + 1 = -13 26n = -13 Divide each side by '26'. n = -0.5 Simplifying n = -0.5
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