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Simplifying 0.67(4z + -2) + 2z = 3z + 12 Reorder the terms: 0.67(-2 + 4z) + 2z = 3z + 12 (-2 * 0.67 + 4z * 0.67) + 2z = 3z + 12 (-1.34 + 2.68z) + 2z = 3z + 12 Combine like terms: 2.68z + 2z = 4.68z -1.34 + 4.68z = 3z + 12 Reorder the terms: -1.34 + 4.68z = 12 + 3z Solving -1.34 + 4.68z = 12 + 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. -1.34 + 4.68z + -3z = 12 + 3z + -3z Combine like terms: 4.68z + -3z = 1.68z -1.34 + 1.68z = 12 + 3z + -3z Combine like terms: 3z + -3z = 0 -1.34 + 1.68z = 12 + 0 -1.34 + 1.68z = 12 Add '1.34' to each side of the equation. -1.34 + 1.34 + 1.68z = 12 + 1.34 Combine like terms: -1.34 + 1.34 = 0.00 0.00 + 1.68z = 12 + 1.34 1.68z = 12 + 1.34 Combine like terms: 12 + 1.34 = 13.34 1.68z = 13.34 Divide each side by '1.68'. z = 7.94047619 Simplifying z = 7.94047619
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