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Simplifying -3(5z + -2) + -2(z + -2) = 0 Reorder the terms: -3(-2 + 5z) + -2(z + -2) = 0 (-2 * -3 + 5z * -3) + -2(z + -2) = 0 (6 + -15z) + -2(z + -2) = 0 Reorder the terms: 6 + -15z + -2(-2 + z) = 0 6 + -15z + (-2 * -2 + z * -2) = 0 6 + -15z + (4 + -2z) = 0 Reorder the terms: 6 + 4 + -15z + -2z = 0 Combine like terms: 6 + 4 = 10 10 + -15z + -2z = 0 Combine like terms: -15z + -2z = -17z 10 + -17z = 0 Solving 10 + -17z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -17z = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -17z = 0 + -10 -17z = 0 + -10 Combine like terms: 0 + -10 = -10 -17z = -10 Divide each side by '-17'. z = 0.5882352941 Simplifying z = 0.5882352941
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