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Simplifying 2(2z + -7) + -24 = 0 Reorder the terms: 2(-7 + 2z) + -24 = 0 (-7 * 2 + 2z * 2) + -24 = 0 (-14 + 4z) + -24 = 0 Reorder the terms: -14 + -24 + 4z = 0 Combine like terms: -14 + -24 = -38 -38 + 4z = 0 Solving -38 + 4z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 4z = 0 + 38 Combine like terms: -38 + 38 = 0 0 + 4z = 0 + 38 4z = 0 + 38 Combine like terms: 0 + 38 = 38 4z = 38 Divide each side by '4'. z = 9.5 Simplifying z = 9.5
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