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Simplifying z + -2z + 0.2 = -6.2(z + 5) Reorder the terms: 0.2 + z + -2z = -6.2(z + 5) Combine like terms: z + -2z = -1z 0.2 + -1z = -6.2(z + 5) Reorder the terms: 0.2 + -1z = -6.2(5 + z) 0.2 + -1z = (5 * -6.2 + z * -6.2) 0.2 + -1z = (-31 + -6.2z) Solving 0.2 + -1z = -31 + -6.2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6.2z' to each side of the equation. 0.2 + -1z + 6.2z = -31 + -6.2z + 6.2z Combine like terms: -1z + 6.2z = 5.2z 0.2 + 5.2z = -31 + -6.2z + 6.2z Combine like terms: -6.2z + 6.2z = 0.0 0.2 + 5.2z = -31 + 0.0 0.2 + 5.2z = -31 Add '-0.2' to each side of the equation. 0.2 + -0.2 + 5.2z = -31 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 5.2z = -31 + -0.2 5.2z = -31 + -0.2 Combine like terms: -31 + -0.2 = -31.2 5.2z = -31.2 Divide each side by '5.2'. z = -6 Simplifying z = -6
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