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Simplifying 2z + -6.2 = 4(0.9 + -3z) Reorder the terms: -6.2 + 2z = 4(0.9 + -3z) -6.2 + 2z = (0.9 * 4 + -3z * 4) -6.2 + 2z = (3.6 + -12z) Solving -6.2 + 2z = 3.6 + -12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12z' to each side of the equation. -6.2 + 2z + 12z = 3.6 + -12z + 12z Combine like terms: 2z + 12z = 14z -6.2 + 14z = 3.6 + -12z + 12z Combine like terms: -12z + 12z = 0 -6.2 + 14z = 3.6 + 0 -6.2 + 14z = 3.6 Add '6.2' to each side of the equation. -6.2 + 6.2 + 14z = 3.6 + 6.2 Combine like terms: -6.2 + 6.2 = 0.0 0.0 + 14z = 3.6 + 6.2 14z = 3.6 + 6.2 Combine like terms: 3.6 + 6.2 = 9.8 14z = 9.8 Divide each side by '14'. z = 0.7 Simplifying z = 0.7
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