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Simplifying 5.9(z + -3) = 12z Reorder the terms: 5.9(-3 + z) = 12z (-3 * 5.9 + z * 5.9) = 12z (-17.7 + 5.9z) = 12z Solving -17.7 + 5.9z = 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. -17.7 + 5.9z + -12z = 12z + -12z Combine like terms: 5.9z + -12z = -6.1z -17.7 + -6.1z = 12z + -12z Combine like terms: 12z + -12z = 0 -17.7 + -6.1z = 0 Add '17.7' to each side of the equation. -17.7 + 17.7 + -6.1z = 0 + 17.7 Combine like terms: -17.7 + 17.7 = 0.0 0.0 + -6.1z = 0 + 17.7 -6.1z = 0 + 17.7 Combine like terms: 0 + 17.7 = 17.7 -6.1z = 17.7 Divide each side by '-6.1'. z = -2.901639344 Simplifying z = -2.901639344
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