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Simplifying 2 + 0.7z + -2(-5) + 0.3z = 0 Multiply -2 * -5 2 + 0.7z + 10 + 0.3z = 0 Reorder the terms: 2 + 10 + 0.7z + 0.3z = 0 Combine like terms: 2 + 10 = 12 12 + 0.7z + 0.3z = 0 Combine like terms: 0.7z + 0.3z = 1z 12 + 1z = 0 Solving 12 + 1z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 1z = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 1z = 0 + -12 1z = 0 + -12 Combine like terms: 0 + -12 = -12 1z = -12 Divide each side by '1'. z = -12 Simplifying z = -12
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