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Simplifying -1(6 + 8n) = -4 + 7(-1n + 2) (6 * -1 + 8n * -1) = -4 + 7(-1n + 2) (-6 + -8n) = -4 + 7(-1n + 2) Reorder the terms: -6 + -8n = -4 + 7(2 + -1n) -6 + -8n = -4 + (2 * 7 + -1n * 7) -6 + -8n = -4 + (14 + -7n) Combine like terms: -4 + 14 = 10 -6 + -8n = 10 + -7n Solving -6 + -8n = 10 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. -6 + -8n + 7n = 10 + -7n + 7n Combine like terms: -8n + 7n = -1n -6 + -1n = 10 + -7n + 7n Combine like terms: -7n + 7n = 0 -6 + -1n = 10 + 0 -6 + -1n = 10 Add '6' to each side of the equation. -6 + 6 + -1n = 10 + 6 Combine like terms: -6 + 6 = 0 0 + -1n = 10 + 6 -1n = 10 + 6 Combine like terms: 10 + 6 = 16 -1n = 16 Divide each side by '-1'. n = -16 Simplifying n = -16
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