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Simplifying 2(5z + -2) + -3(z + 8) = 0 Reorder the terms: 2(-2 + 5z) + -3(z + 8) = 0 (-2 * 2 + 5z * 2) + -3(z + 8) = 0 (-4 + 10z) + -3(z + 8) = 0 Reorder the terms: -4 + 10z + -3(8 + z) = 0 -4 + 10z + (8 * -3 + z * -3) = 0 -4 + 10z + (-24 + -3z) = 0 Reorder the terms: -4 + -24 + 10z + -3z = 0 Combine like terms: -4 + -24 = -28 -28 + 10z + -3z = 0 Combine like terms: 10z + -3z = 7z -28 + 7z = 0 Solving -28 + 7z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 7z = 0 + 28 Combine like terms: -28 + 28 = 0 0 + 7z = 0 + 28 7z = 0 + 28 Combine like terms: 0 + 28 = 28 7z = 28 Divide each side by '7'. z = 4 Simplifying z = 4
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