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Simplifying -36z + 1.3 = 0.2(z + -3) Reorder the terms: 1.3 + -36z = 0.2(z + -3) Reorder the terms: 1.3 + -36z = 0.2(-3 + z) 1.3 + -36z = (-3 * 0.2 + z * 0.2) 1.3 + -36z = (-0.6 + 0.2z) Solving 1.3 + -36z = -0.6 + 0.2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.2z' to each side of the equation. 1.3 + -36z + -0.2z = -0.6 + 0.2z + -0.2z Combine like terms: -36z + -0.2z = -36.2z 1.3 + -36.2z = -0.6 + 0.2z + -0.2z Combine like terms: 0.2z + -0.2z = 0.0 1.3 + -36.2z = -0.6 + 0.0 1.3 + -36.2z = -0.6 Add '-1.3' to each side of the equation. 1.3 + -1.3 + -36.2z = -0.6 + -1.3 Combine like terms: 1.3 + -1.3 = 0.0 0.0 + -36.2z = -0.6 + -1.3 -36.2z = -0.6 + -1.3 Combine like terms: -0.6 + -1.3 = -1.9 -36.2z = -1.9 Divide each side by '-36.2'. z = 0.05248618785 Simplifying z = 0.05248618785
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