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Simplifying 2z + -4(9 + -3z) = 62 2z + (9 * -4 + -3z * -4) = 62 2z + (-36 + 12z) = 62 Reorder the terms: -36 + 2z + 12z = 62 Combine like terms: 2z + 12z = 14z -36 + 14z = 62 Solving -36 + 14z = 62 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + 14z = 62 + 36 Combine like terms: -36 + 36 = 0 0 + 14z = 62 + 36 14z = 62 + 36 Combine like terms: 62 + 36 = 98 14z = 98 Divide each side by '14'. z = 7 Simplifying z = 7
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