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Simplifying 2(3z + -5 * 2z + -3) = 3z + -4 Multiply -5 * 2 2(3z + -10z + -3) = 3z + -4 Reorder the terms: 2(-3 + 3z + -10z) = 3z + -4 Combine like terms: 3z + -10z = -7z 2(-3 + -7z) = 3z + -4 (-3 * 2 + -7z * 2) = 3z + -4 (-6 + -14z) = 3z + -4 Reorder the terms: -6 + -14z = -4 + 3z Solving -6 + -14z = -4 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -6 + -14z + -3z = -4 + 3z + -3z Combine like terms: -14z + -3z = -17z -6 + -17z = -4 + 3z + -3z Combine like terms: 3z + -3z = 0 -6 + -17z = -4 + 0 -6 + -17z = -4 Add '6' to each side of the equation. -6 + 6 + -17z = -4 + 6 Combine like terms: -6 + 6 = 0 0 + -17z = -4 + 6 -17z = -4 + 6 Combine like terms: -4 + 6 = 2 -17z = 2 Divide each side by '-17'. z = -0.1176470588 Simplifying z = -0.1176470588
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