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Simplifying 23 = 16(2z + -4) Reorder the terms: 23 = 16(-4 + 2z) 23 = (-4 * 16 + 2z * 16) 23 = (-64 + 32z) Solving 23 = -64 + 32z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-32z' to each side of the equation. 23 + -32z = -64 + 32z + -32z Combine like terms: 32z + -32z = 0 23 + -32z = -64 + 0 23 + -32z = -64 Add '-23' to each side of the equation. 23 + -23 + -32z = -64 + -23 Combine like terms: 23 + -23 = 0 0 + -32z = -64 + -23 -32z = -64 + -23 Combine like terms: -64 + -23 = -87 -32z = -87 Divide each side by '-32'. z = 2.71875 Simplifying z = 2.71875
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