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Simplifying -7(-3 + 7n) + -1n = -7(-3 + -8n) (-3 * -7 + 7n * -7) + -1n = -7(-3 + -8n) (21 + -49n) + -1n = -7(-3 + -8n) Combine like terms: -49n + -1n = -50n 21 + -50n = -7(-3 + -8n) 21 + -50n = (-3 * -7 + -8n * -7) 21 + -50n = (21 + 56n) Add '-21' to each side of the equation. 21 + -21 + -50n = 21 + -21 + 56n Combine like terms: 21 + -21 = 0 0 + -50n = 21 + -21 + 56n -50n = 21 + -21 + 56n Combine like terms: 21 + -21 = 0 -50n = 0 + 56n -50n = 56n Solving -50n = 56n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-56n' to each side of the equation. -50n + -56n = 56n + -56n Combine like terms: -50n + -56n = -106n -106n = 56n + -56n Combine like terms: 56n + -56n = 0 -106n = 0 Divide each side by '-106'. n = 0 Simplifying n = 0
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