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Simplifying -2(4 + -7n) = -2(3 + -8n) (4 * -2 + -7n * -2) = -2(3 + -8n) (-8 + 14n) = -2(3 + -8n) -8 + 14n = (3 * -2 + -8n * -2) -8 + 14n = (-6 + 16n) Solving -8 + 14n = -6 + 16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16n' to each side of the equation. -8 + 14n + -16n = -6 + 16n + -16n Combine like terms: 14n + -16n = -2n -8 + -2n = -6 + 16n + -16n Combine like terms: 16n + -16n = 0 -8 + -2n = -6 + 0 -8 + -2n = -6 Add '8' to each side of the equation. -8 + 8 + -2n = -6 + 8 Combine like terms: -8 + 8 = 0 0 + -2n = -6 + 8 -2n = -6 + 8 Combine like terms: -6 + 8 = 2 -2n = 2 Divide each side by '-2'. n = -1 Simplifying n = -1
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