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Simplifying -3(n + 7) = -2(1 + -8n) Reorder the terms: -3(7 + n) = -2(1 + -8n) (7 * -3 + n * -3) = -2(1 + -8n) (-21 + -3n) = -2(1 + -8n) -21 + -3n = (1 * -2 + -8n * -2) -21 + -3n = (-2 + 16n) Solving -21 + -3n = -2 + 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. -21 + -3n + -16n = -2 + 16n + -16n Combine like terms: -3n + -16n = -19n -21 + -19n = -2 + 16n + -16n Combine like terms: 16n + -16n = 0 -21 + -19n = -2 + 0 -21 + -19n = -2 Add '21' to each side of the equation. -21 + 21 + -19n = -2 + 21 Combine like terms: -21 + 21 = 0 0 + -19n = -2 + 21 -19n = -2 + 21 Combine like terms: -2 + 21 = 19 -19n = 19 Divide each side by '-19'. n = -1 Simplifying n = -1
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