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Simplifying 2(z + 1.2) = 4(6.3 + -1z) Reorder the terms: 2(1.2 + z) = 4(6.3 + -1z) (1.2 * 2 + z * 2) = 4(6.3 + -1z) (2.4 + 2z) = 4(6.3 + -1z) 2.4 + 2z = (6.3 * 4 + -1z * 4) 2.4 + 2z = (25.2 + -4z) Solving 2.4 + 2z = 25.2 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. 2.4 + 2z + 4z = 25.2 + -4z + 4z Combine like terms: 2z + 4z = 6z 2.4 + 6z = 25.2 + -4z + 4z Combine like terms: -4z + 4z = 0 2.4 + 6z = 25.2 + 0 2.4 + 6z = 25.2 Add '-2.4' to each side of the equation. 2.4 + -2.4 + 6z = 25.2 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + 6z = 25.2 + -2.4 6z = 25.2 + -2.4 Combine like terms: 25.2 + -2.4 = 22.8 6z = 22.8 Divide each side by '6'. z = 3.8 Simplifying z = 3.8
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