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Simplifying 494 = 19(q + 4) Reorder the terms: 494 = 19(4 + q) 494 = (4 * 19 + q * 19) 494 = (76 + 19q) Solving 494 = 76 + 19q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-19q' to each side of the equation. 494 + -19q = 76 + 19q + -19q Combine like terms: 19q + -19q = 0 494 + -19q = 76 + 0 494 + -19q = 76 Add '-494' to each side of the equation. 494 + -494 + -19q = 76 + -494 Combine like terms: 494 + -494 = 0 0 + -19q = 76 + -494 -19q = 76 + -494 Combine like terms: 76 + -494 = -418 -19q = -418 Divide each side by '-19'. q = 22 Simplifying q = 22
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