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Simplifying 12 + -8n = 8(6 + n) + -7n 12 + -8n = (6 * 8 + n * 8) + -7n 12 + -8n = (48 + 8n) + -7n Combine like terms: 8n + -7n = 1n 12 + -8n = 48 + 1n Solving 12 + -8n = 48 + 1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 12 + -8n + -1n = 48 + 1n + -1n Combine like terms: -8n + -1n = -9n 12 + -9n = 48 + 1n + -1n Combine like terms: 1n + -1n = 0 12 + -9n = 48 + 0 12 + -9n = 48 Add '-12' to each side of the equation. 12 + -12 + -9n = 48 + -12 Combine like terms: 12 + -12 = 0 0 + -9n = 48 + -12 -9n = 48 + -12 Combine like terms: 48 + -12 = 36 -9n = 36 Divide each side by '-9'. n = -4 Simplifying n = -4
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