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Simplifying -28 + 4z = -8(9z + 3) Reorder the terms: -28 + 4z = -8(3 + 9z) -28 + 4z = (3 * -8 + 9z * -8) -28 + 4z = (-24 + -72z) Solving -28 + 4z = -24 + -72z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '72z' to each side of the equation. -28 + 4z + 72z = -24 + -72z + 72z Combine like terms: 4z + 72z = 76z -28 + 76z = -24 + -72z + 72z Combine like terms: -72z + 72z = 0 -28 + 76z = -24 + 0 -28 + 76z = -24 Add '28' to each side of the equation. -28 + 28 + 76z = -24 + 28 Combine like terms: -28 + 28 = 0 0 + 76z = -24 + 28 76z = -24 + 28 Combine like terms: -24 + 28 = 4 76z = 4 Divide each side by '76'. z = 0.05263157895 Simplifying z = 0.05263157895
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