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Simplifying 2z + -49(9 + -3z) = 62 2z + (9 * -49 + -3z * -49) = 62 2z + (-441 + 147z) = 62 Reorder the terms: -441 + 2z + 147z = 62 Combine like terms: 2z + 147z = 149z -441 + 149z = 62 Solving -441 + 149z = 62 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '441' to each side of the equation. -441 + 441 + 149z = 62 + 441 Combine like terms: -441 + 441 = 0 0 + 149z = 62 + 441 149z = 62 + 441 Combine like terms: 62 + 441 = 503 149z = 503 Divide each side by '149'. z = 3.375838926 Simplifying z = 3.375838926
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