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Simplifying 6(n + -8) + -7n = -3 + 8n Reorder the terms: 6(-8 + n) + -7n = -3 + 8n (-8 * 6 + n * 6) + -7n = -3 + 8n (-48 + 6n) + -7n = -3 + 8n Combine like terms: 6n + -7n = -1n -48 + -1n = -3 + 8n Solving -48 + -1n = -3 + 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. -48 + -1n + -8n = -3 + 8n + -8n Combine like terms: -1n + -8n = -9n -48 + -9n = -3 + 8n + -8n Combine like terms: 8n + -8n = 0 -48 + -9n = -3 + 0 -48 + -9n = -3 Add '48' to each side of the equation. -48 + 48 + -9n = -3 + 48 Combine like terms: -48 + 48 = 0 0 + -9n = -3 + 48 -9n = -3 + 48 Combine like terms: -3 + 48 = 45 -9n = 45 Divide each side by '-9'. n = -5 Simplifying n = -5
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