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Simplifying 0.7(z + -2) + 0.3z = -5.4 Reorder the terms: 0.7(-2 + z) + 0.3z = -5.4 (-2 * 0.7 + z * 0.7) + 0.3z = -5.4 (-1.4 + 0.7z) + 0.3z = -5.4 Combine like terms: 0.7z + 0.3z = 1z -1.4 + 1z = -5.4 Solving -1.4 + 1z = -5.4 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '1.4' to each side of the equation. -1.4 + 1.4 + 1z = -5.4 + 1.4 Combine like terms: -1.4 + 1.4 = 0.0 0.0 + 1z = -5.4 + 1.4 1z = -5.4 + 1.4 Combine like terms: -5.4 + 1.4 = -4 1z = -4 Divide each side by '1'. z = -4 Simplifying z = -4
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