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Simplifying 2.7 + 5.7z = -1(-6z + -2) Reorder the terms: 2.7 + 5.7z = -1(-2 + -6z) 2.7 + 5.7z = (-2 * -1 + -6z * -1) 2.7 + 5.7z = (2 + 6z) Solving 2.7 + 5.7z = 2 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 2.7 + 5.7z + -6z = 2 + 6z + -6z Combine like terms: 5.7z + -6z = -0.3z 2.7 + -0.3z = 2 + 6z + -6z Combine like terms: 6z + -6z = 0 2.7 + -0.3z = 2 + 0 2.7 + -0.3z = 2 Add '-2.7' to each side of the equation. 2.7 + -2.7 + -0.3z = 2 + -2.7 Combine like terms: 2.7 + -2.7 = 0.0 0.0 + -0.3z = 2 + -2.7 -0.3z = 2 + -2.7 Combine like terms: 2 + -2.7 = -0.7 -0.3z = -0.7 Divide each side by '-0.3'. z = 2.333333333 Simplifying z = 2.333333333
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