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Simplifying -14(q + 178) = 462 Reorder the terms: -14(178 + q) = 462 (178 * -14 + q * -14) = 462 (-2492 + -14q) = 462 Solving -2492 + -14q = 462 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2492' to each side of the equation. -2492 + 2492 + -14q = 462 + 2492 Combine like terms: -2492 + 2492 = 0 0 + -14q = 462 + 2492 -14q = 462 + 2492 Combine like terms: 462 + 2492 = 2954 -14q = 2954 Divide each side by '-14'. q = -211 Simplifying q = -211
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