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Simplifying -348 = 12(q + 35) Reorder the terms: -348 = 12(35 + q) -348 = (35 * 12 + q * 12) -348 = (420 + 12q) Solving -348 = 420 + 12q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-12q' to each side of the equation. -348 + -12q = 420 + 12q + -12q Combine like terms: 12q + -12q = 0 -348 + -12q = 420 + 0 -348 + -12q = 420 Add '348' to each side of the equation. -348 + 348 + -12q = 420 + 348 Combine like terms: -348 + 348 = 0 0 + -12q = 420 + 348 -12q = 420 + 348 Combine like terms: 420 + 348 = 768 -12q = 768 Divide each side by '-12'. q = -64 Simplifying q = -64
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