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Simplifying z + -6.5z + 0.5 = -5(z + -1.2) Reorder the terms: 0.5 + z + -6.5z = -5(z + -1.2) Combine like terms: z + -6.5z = -5.5z 0.5 + -5.5z = -5(z + -1.2) Reorder the terms: 0.5 + -5.5z = -5(-1.2 + z) 0.5 + -5.5z = (-1.2 * -5 + z * -5) 0.5 + -5.5z = (6 + -5z) Solving 0.5 + -5.5z = 6 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. 0.5 + -5.5z + 5z = 6 + -5z + 5z Combine like terms: -5.5z + 5z = -0.5z 0.5 + -0.5z = 6 + -5z + 5z Combine like terms: -5z + 5z = 0 0.5 + -0.5z = 6 + 0 0.5 + -0.5z = 6 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -0.5z = 6 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -0.5z = 6 + -0.5 -0.5z = 6 + -0.5 Combine like terms: 6 + -0.5 = 5.5 -0.5z = 5.5 Divide each side by '-0.5'. z = -11 Simplifying z = -11
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