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Simplifying 1.4(z + 0.5) = 0.7(z + -1.3) Reorder the terms: 1.4(0.5 + z) = 0.7(z + -1.3) (0.5 * 1.4 + z * 1.4) = 0.7(z + -1.3) (0.7 + 1.4z) = 0.7(z + -1.3) Reorder the terms: 0.7 + 1.4z = 0.7(-1.3 + z) 0.7 + 1.4z = (-1.3 * 0.7 + z * 0.7) 0.7 + 1.4z = (-0.91 + 0.7z) Solving 0.7 + 1.4z = -0.91 + 0.7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.7z' to each side of the equation. 0.7 + 1.4z + -0.7z = -0.91 + 0.7z + -0.7z Combine like terms: 1.4z + -0.7z = 0.7z 0.7 + 0.7z = -0.91 + 0.7z + -0.7z Combine like terms: 0.7z + -0.7z = 0.0 0.7 + 0.7z = -0.91 + 0.0 0.7 + 0.7z = -0.91 Add '-0.7' to each side of the equation. 0.7 + -0.7 + 0.7z = -0.91 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + 0.7z = -0.91 + -0.7 0.7z = -0.91 + -0.7 Combine like terms: -0.91 + -0.7 = -1.61 0.7z = -1.61 Divide each side by '0.7'. z = -2.3 Simplifying z = -2.3
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