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Simplifying 15z + 4(-2 + z) + -2z = 0 15z + (-2 * 4 + z * 4) + -2z = 0 15z + (-8 + 4z) + -2z = 0 Reorder the terms: -8 + 15z + 4z + -2z = 0 Combine like terms: 15z + 4z = 19z -8 + 19z + -2z = 0 Combine like terms: 19z + -2z = 17z -8 + 17z = 0 Solving -8 + 17z = 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 + 17z = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 17z = 0 + 8 17z = 0 + 8 Combine like terms: 0 + 8 = 8 17z = 8 Divide each side by '17'. z = 0.4705882353 Simplifying z = 0.4705882353
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