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Simplifying -27z + -0.7 = -37z + 1.4 Reorder the terms: -0.7 + -27z = -37z + 1.4 Reorder the terms: -0.7 + -27z = 1.4 + -37z Solving -0.7 + -27z = 1.4 + -37z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '37z' to each side of the equation. -0.7 + -27z + 37z = 1.4 + -37z + 37z Combine like terms: -27z + 37z = 10z -0.7 + 10z = 1.4 + -37z + 37z Combine like terms: -37z + 37z = 0 -0.7 + 10z = 1.4 + 0 -0.7 + 10z = 1.4 Add '0.7' to each side of the equation. -0.7 + 0.7 + 10z = 1.4 + 0.7 Combine like terms: -0.7 + 0.7 = 0.0 0.0 + 10z = 1.4 + 0.7 10z = 1.4 + 0.7 Combine like terms: 1.4 + 0.7 = 2.1 10z = 2.1 Divide each side by '10'. z = 0.21 Simplifying z = 0.21
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