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Simplifying 8(n + -6) = 7n + -6 Reorder the terms: 8(-6 + n) = 7n + -6 (-6 * 8 + n * 8) = 7n + -6 (-48 + 8n) = 7n + -6 Reorder the terms: -48 + 8n = -6 + 7n Solving -48 + 8n = -6 + 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. -48 + 8n + -7n = -6 + 7n + -7n Combine like terms: 8n + -7n = 1n -48 + 1n = -6 + 7n + -7n Combine like terms: 7n + -7n = 0 -48 + 1n = -6 + 0 -48 + 1n = -6 Add '48' to each side of the equation. -48 + 48 + 1n = -6 + 48 Combine like terms: -48 + 48 = 0 0 + 1n = -6 + 48 1n = -6 + 48 Combine like terms: -6 + 48 = 42 1n = 42 Divide each side by '1'. n = 42 Simplifying n = 42
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