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Simplifying 0.05z + 2 = 0.15z + -10.5 Reorder the terms: 2 + 0.05z = 0.15z + -10.5 Reorder the terms: 2 + 0.05z = -10.5 + 0.15z Solving 2 + 0.05z = -10.5 + 0.15z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.15z' to each side of the equation. 2 + 0.05z + -0.15z = -10.5 + 0.15z + -0.15z Combine like terms: 0.05z + -0.15z = -0.1z 2 + -0.1z = -10.5 + 0.15z + -0.15z Combine like terms: 0.15z + -0.15z = 0.00 2 + -0.1z = -10.5 + 0.00 2 + -0.1z = -10.5 Add '-2' to each side of the equation. 2 + -2 + -0.1z = -10.5 + -2 Combine like terms: 2 + -2 = 0 0 + -0.1z = -10.5 + -2 -0.1z = -10.5 + -2 Combine like terms: -10.5 + -2 = -12.5 -0.1z = -12.5 Divide each side by '-0.1'. z = 125 Simplifying z = 125
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