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Simplifying 4(6 + 7n) = -172 (6 * 4 + 7n * 4) = -172 (24 + 28n) = -172 Solving 24 + 28n = -172 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 28n = -172 + -24 Combine like terms: 24 + -24 = 0 0 + 28n = -172 + -24 28n = -172 + -24 Combine like terms: -172 + -24 = -196 28n = -196 Divide each side by '28'. n = -7 Simplifying n = -7
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