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Simplifying 7(n + -6) + 2 = -36 + 8n Reorder the terms: 7(-6 + n) + 2 = -36 + 8n (-6 * 7 + n * 7) + 2 = -36 + 8n (-42 + 7n) + 2 = -36 + 8n Reorder the terms: -42 + 2 + 7n = -36 + 8n Combine like terms: -42 + 2 = -40 -40 + 7n = -36 + 8n Solving -40 + 7n = -36 + 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. -40 + 7n + -8n = -36 + 8n + -8n Combine like terms: 7n + -8n = -1n -40 + -1n = -36 + 8n + -8n Combine like terms: 8n + -8n = 0 -40 + -1n = -36 + 0 -40 + -1n = -36 Add '40' to each side of the equation. -40 + 40 + -1n = -36 + 40 Combine like terms: -40 + 40 = 0 0 + -1n = -36 + 40 -1n = -36 + 40 Combine like terms: -36 + 40 = 4 -1n = 4 Divide each side by '-1'. n = -4 Simplifying n = -4
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