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Simplifying 1.3z + -4(-1 + 3z) = 2 + -0.7z 1.3z + (-1 * -4 + 3z * -4) = 2 + -0.7z 1.3z + (4 + -12z) = 2 + -0.7z Reorder the terms: 4 + 1.3z + -12z = 2 + -0.7z Combine like terms: 1.3z + -12z = -10.7z 4 + -10.7z = 2 + -0.7z Solving 4 + -10.7z = 2 + -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. 4 + -10.7z + 0.7z = 2 + -0.7z + 0.7z Combine like terms: -10.7z + 0.7z = -10z 4 + -10z = 2 + -0.7z + 0.7z Combine like terms: -0.7z + 0.7z = 0.0 4 + -10z = 2 + 0.0 4 + -10z = 2 Add '-4' to each side of the equation. 4 + -4 + -10z = 2 + -4 Combine like terms: 4 + -4 = 0 0 + -10z = 2 + -4 -10z = 2 + -4 Combine like terms: 2 + -4 = -2 -10z = -2 Divide each side by '-10'. z = 0.2 Simplifying z = 0.2
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