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Simplifying 28 + 4z = 8(2z + -3) Reorder the terms: 28 + 4z = 8(-3 + 2z) 28 + 4z = (-3 * 8 + 2z * 8) 28 + 4z = (-24 + 16z) Solving 28 + 4z = -24 + 16z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-16z' to each side of the equation. 28 + 4z + -16z = -24 + 16z + -16z Combine like terms: 4z + -16z = -12z 28 + -12z = -24 + 16z + -16z Combine like terms: 16z + -16z = 0 28 + -12z = -24 + 0 28 + -12z = -24 Add '-28' to each side of the equation. 28 + -28 + -12z = -24 + -28 Combine like terms: 28 + -28 = 0 0 + -12z = -24 + -28 -12z = -24 + -28 Combine like terms: -24 + -28 = -52 -12z = -52 Divide each side by '-12'. z = 4.333333333 Simplifying z = 4.333333333
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