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Simplifying -3(10z + 4) + 5(z + 2) = 0 Reorder the terms: -3(4 + 10z) + 5(z + 2) = 0 (4 * -3 + 10z * -3) + 5(z + 2) = 0 (-12 + -30z) + 5(z + 2) = 0 Reorder the terms: -12 + -30z + 5(2 + z) = 0 -12 + -30z + (2 * 5 + z * 5) = 0 -12 + -30z + (10 + 5z) = 0 Reorder the terms: -12 + 10 + -30z + 5z = 0 Combine like terms: -12 + 10 = -2 -2 + -30z + 5z = 0 Combine like terms: -30z + 5z = -25z -2 + -25z = 0 Solving -2 + -25z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -25z = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -25z = 0 + 2 -25z = 0 + 2 Combine like terms: 0 + 2 = 2 -25z = 2 Divide each side by '-25'. z = -0.08 Simplifying z = -0.08
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