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Simplifying 5(5z + -2) + -9(3z + -2) = 0 Reorder the terms: 5(-2 + 5z) + -9(3z + -2) = 0 (-2 * 5 + 5z * 5) + -9(3z + -2) = 0 (-10 + 25z) + -9(3z + -2) = 0 Reorder the terms: -10 + 25z + -9(-2 + 3z) = 0 -10 + 25z + (-2 * -9 + 3z * -9) = 0 -10 + 25z + (18 + -27z) = 0 Reorder the terms: -10 + 18 + 25z + -27z = 0 Combine like terms: -10 + 18 = 8 8 + 25z + -27z = 0 Combine like terms: 25z + -27z = -2z 8 + -2z = 0 Solving 8 + -2z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -2z = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -2z = 0 + -8 -2z = 0 + -8 Combine like terms: 0 + -8 = -8 -2z = -8 Divide each side by '-2'. z = 4 Simplifying z = 4
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