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Simplifying 0.006(z + 7) = 0.007z + 0.012 Reorder the terms: 0.006(7 + z) = 0.007z + 0.012 (7 * 0.006 + z * 0.006) = 0.007z + 0.012 (0.042 + 0.006z) = 0.007z + 0.012 Reorder the terms: 0.042 + 0.006z = 0.012 + 0.007z Solving 0.042 + 0.006z = 0.012 + 0.007z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.007z' to each side of the equation. 0.042 + 0.006z + -0.007z = 0.012 + 0.007z + -0.007z Combine like terms: 0.006z + -0.007z = -0.001z 0.042 + -0.001z = 0.012 + 0.007z + -0.007z Combine like terms: 0.007z + -0.007z = 0.000 0.042 + -0.001z = 0.012 + 0.000 0.042 + -0.001z = 0.012 Add '-0.042' to each side of the equation. 0.042 + -0.042 + -0.001z = 0.012 + -0.042 Combine like terms: 0.042 + -0.042 = 0.000 0.000 + -0.001z = 0.012 + -0.042 -0.001z = 0.012 + -0.042 Combine like terms: 0.012 + -0.042 = -0.03 -0.001z = -0.03 Divide each side by '-0.001'. z = 30 Simplifying z = 30
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