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Simplifying -1z + -2.5z + -0.2 = -2(z + -5.4) Reorder the terms: -0.2 + -1z + -2.5z = -2(z + -5.4) Combine like terms: -1z + -2.5z = -3.5z -0.2 + -3.5z = -2(z + -5.4) Reorder the terms: -0.2 + -3.5z = -2(-5.4 + z) -0.2 + -3.5z = (-5.4 * -2 + z * -2) -0.2 + -3.5z = (10.8 + -2z) Solving -0.2 + -3.5z = 10.8 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. -0.2 + -3.5z + 2z = 10.8 + -2z + 2z Combine like terms: -3.5z + 2z = -1.5z -0.2 + -1.5z = 10.8 + -2z + 2z Combine like terms: -2z + 2z = 0 -0.2 + -1.5z = 10.8 + 0 -0.2 + -1.5z = 10.8 Add '0.2' to each side of the equation. -0.2 + 0.2 + -1.5z = 10.8 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + -1.5z = 10.8 + 0.2 -1.5z = 10.8 + 0.2 Combine like terms: 10.8 + 0.2 = 11 -1.5z = 11 Divide each side by '-1.5'. z = -7.333333333 Simplifying z = -7.333333333
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