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Simplifying -7n + 6n = 8(-6 + -5n) + 8(n + 6) Combine like terms: -7n + 6n = -1n -1n = 8(-6 + -5n) + 8(n + 6) -1n = (-6 * 8 + -5n * 8) + 8(n + 6) -1n = (-48 + -40n) + 8(n + 6) Reorder the terms: -1n = -48 + -40n + 8(6 + n) -1n = -48 + -40n + (6 * 8 + n * 8) -1n = -48 + -40n + (48 + 8n) Reorder the terms: -1n = -48 + 48 + -40n + 8n Combine like terms: -48 + 48 = 0 -1n = 0 + -40n + 8n -1n = -40n + 8n Combine like terms: -40n + 8n = -32n -1n = -32n Solving -1n = -32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '32n' to each side of the equation. -1n + 32n = -32n + 32n Combine like terms: -1n + 32n = 31n 31n = -32n + 32n Combine like terms: -32n + 32n = 0 31n = 0 Divide each side by '31'. n = 0 Simplifying n = 0
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