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Simplifying 2(4z + -3) + -8 = 4 + 2z Reorder the terms: 2(-3 + 4z) + -8 = 4 + 2z (-3 * 2 + 4z * 2) + -8 = 4 + 2z (-6 + 8z) + -8 = 4 + 2z Reorder the terms: -6 + -8 + 8z = 4 + 2z Combine like terms: -6 + -8 = -14 -14 + 8z = 4 + 2z Solving -14 + 8z = 4 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -14 + 8z + -2z = 4 + 2z + -2z Combine like terms: 8z + -2z = 6z -14 + 6z = 4 + 2z + -2z Combine like terms: 2z + -2z = 0 -14 + 6z = 4 + 0 -14 + 6z = 4 Add '14' to each side of the equation. -14 + 14 + 6z = 4 + 14 Combine like terms: -14 + 14 = 0 0 + 6z = 4 + 14 6z = 4 + 14 Combine like terms: 4 + 14 = 18 6z = 18 Divide each side by '6'. z = 3 Simplifying z = 3
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