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Simplifying z + -2.5z + -0.2 = -2(z + -5.4) Reorder the terms: -0.2 + z + -2.5z = -2(z + -5.4) Combine like terms: z + -2.5z = -1.5z -0.2 + -1.5z = -2(z + -5.4) Reorder the terms: -0.2 + -1.5z = -2(-5.4 + z) -0.2 + -1.5z = (-5.4 * -2 + z * -2) -0.2 + -1.5z = (10.8 + -2z) Solving -0.2 + -1.5z = 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 + -1.5z + 2z = 10.8 + -2z + 2z Combine like terms: -1.5z + 2z = 0.5z -0.2 + 0.5z = 10.8 + -2z + 2z Combine like terms: -2z + 2z = 0 -0.2 + 0.5z = 10.8 + 0 -0.2 + 0.5z = 10.8 Add '0.2' to each side of the equation. -0.2 + 0.2 + 0.5z = 10.8 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + 0.5z = 10.8 + 0.2 0.5z = 10.8 + 0.2 Combine like terms: 10.8 + 0.2 = 11 0.5z = 11 Divide each side by '0.5'. z = 22 Simplifying z = 22
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