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Simplifying 7(n + -4) = -30 + 8n Reorder the terms: 7(-4 + n) = -30 + 8n (-4 * 7 + n * 7) = -30 + 8n (-28 + 7n) = -30 + 8n Solving -28 + 7n = -30 + 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. -28 + 7n + -8n = -30 + 8n + -8n Combine like terms: 7n + -8n = -1n -28 + -1n = -30 + 8n + -8n Combine like terms: 8n + -8n = 0 -28 + -1n = -30 + 0 -28 + -1n = -30 Add '28' to each side of the equation. -28 + 28 + -1n = -30 + 28 Combine like terms: -28 + 28 = 0 0 + -1n = -30 + 28 -1n = -30 + 28 Combine like terms: -30 + 28 = -2 -1n = -2 Divide each side by '-1'. n = 2 Simplifying n = 2
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