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Simplifying -1(1 + 7n) = -4(2n + -2) (1 * -1 + 7n * -1) = -4(2n + -2) (-1 + -7n) = -4(2n + -2) Reorder the terms: -1 + -7n = -4(-2 + 2n) -1 + -7n = (-2 * -4 + 2n * -4) -1 + -7n = (8 + -8n) Solving -1 + -7n = 8 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. -1 + -7n + 8n = 8 + -8n + 8n Combine like terms: -7n + 8n = 1n -1 + 1n = 8 + -8n + 8n Combine like terms: -8n + 8n = 0 -1 + 1n = 8 + 0 -1 + 1n = 8 Add '1' to each side of the equation. -1 + 1 + 1n = 8 + 1 Combine like terms: -1 + 1 = 0 0 + 1n = 8 + 1 1n = 8 + 1 Combine like terms: 8 + 1 = 9 1n = 9 Divide each side by '1'. n = 9 Simplifying n = 9
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