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Simplifying -1(7n + 3) = -1(1 + 6n) + 7n Reorder the terms: -1(3 + 7n) = -1(1 + 6n) + 7n (3 * -1 + 7n * -1) = -1(1 + 6n) + 7n (-3 + -7n) = -1(1 + 6n) + 7n -3 + -7n = (1 * -1 + 6n * -1) + 7n -3 + -7n = (-1 + -6n) + 7n Combine like terms: -6n + 7n = 1n -3 + -7n = -1 + 1n Solving -3 + -7n = -1 + 1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -3 + -7n + -1n = -1 + 1n + -1n Combine like terms: -7n + -1n = -8n -3 + -8n = -1 + 1n + -1n Combine like terms: 1n + -1n = 0 -3 + -8n = -1 + 0 -3 + -8n = -1 Add '3' to each side of the equation. -3 + 3 + -8n = -1 + 3 Combine like terms: -3 + 3 = 0 0 + -8n = -1 + 3 -8n = -1 + 3 Combine like terms: -1 + 3 = 2 -8n = 2 Divide each side by '-8'. n = -0.25 Simplifying n = -0.25
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