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Simplifying -8(2 + 7n) = -6n + 343 (2 * -8 + 7n * -8) = -6n + 343 (-16 + -56n) = -6n + 343 Reorder the terms: -16 + -56n = 343 + -6n Solving -16 + -56n = 343 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -16 + -56n + 6n = 343 + -6n + 6n Combine like terms: -56n + 6n = -50n -16 + -50n = 343 + -6n + 6n Combine like terms: -6n + 6n = 0 -16 + -50n = 343 + 0 -16 + -50n = 343 Add '16' to each side of the equation. -16 + 16 + -50n = 343 + 16 Combine like terms: -16 + 16 = 0 0 + -50n = 343 + 16 -50n = 343 + 16 Combine like terms: 343 + 16 = 359 -50n = 359 Divide each side by '-50'. n = -7.18 Simplifying n = -7.18
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