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Simplifying 1.5z + 3 = 2.7z + -4.2 Reorder the terms: 3 + 1.5z = 2.7z + -4.2 Reorder the terms: 3 + 1.5z = -4.2 + 2.7z Solving 3 + 1.5z = -4.2 + 2.7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2.7z' to each side of the equation. 3 + 1.5z + -2.7z = -4.2 + 2.7z + -2.7z Combine like terms: 1.5z + -2.7z = -1.2z 3 + -1.2z = -4.2 + 2.7z + -2.7z Combine like terms: 2.7z + -2.7z = 0.0 3 + -1.2z = -4.2 + 0.0 3 + -1.2z = -4.2 Add '-3' to each side of the equation. 3 + -3 + -1.2z = -4.2 + -3 Combine like terms: 3 + -3 = 0 0 + -1.2z = -4.2 + -3 -1.2z = -4.2 + -3 Combine like terms: -4.2 + -3 = -7.2 -1.2z = -7.2 Divide each side by '-1.2'. z = 6 Simplifying z = 6
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