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Simplifying 7(n + -3) = 10 + -1n Reorder the terms: 7(-3 + n) = 10 + -1n (-3 * 7 + n * 7) = 10 + -1n (-21 + 7n) = 10 + -1n Solving -21 + 7n = 10 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -21 + 7n + n = 10 + -1n + n Combine like terms: 7n + n = 8n -21 + 8n = 10 + -1n + n Combine like terms: -1n + n = 0 -21 + 8n = 10 + 0 -21 + 8n = 10 Add '21' to each side of the equation. -21 + 21 + 8n = 10 + 21 Combine like terms: -21 + 21 = 0 0 + 8n = 10 + 21 8n = 10 + 21 Combine like terms: 10 + 21 = 31 8n = 31 Divide each side by '8'. n = 3.875 Simplifying n = 3.875
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