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Simplifying 2.66 = 1.4(0.5z + -1z) Combine like terms: 0.5z + -1z = -0.5z 2.66 = 1.4(-0.5z) Remove parenthesis around (-0.5z) 2.66 = 1.4 * -0.5z Multiply 1.4 * -0.5 2.66 = -0.7z Solving 2.66 = -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. 2.66 + 0.7z = -0.7z + 0.7z Combine like terms: -0.7z + 0.7z = 0.0 2.66 + 0.7z = 0.0 Add '-2.66' to each side of the equation. 2.66 + -2.66 + 0.7z = 0.0 + -2.66 Combine like terms: 2.66 + -2.66 = 0.00 0.00 + 0.7z = 0.0 + -2.66 0.7z = 0.0 + -2.66 Combine like terms: 0.0 + -2.66 = -2.66 0.7z = -2.66 Divide each side by '0.7'. z = -3.8 Simplifying z = -3.8
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