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Simplifying 6z + 4 = 11 + 4(2z + -2) Reorder the terms: 4 + 6z = 11 + 4(2z + -2) Reorder the terms: 4 + 6z = 11 + 4(-2 + 2z) 4 + 6z = 11 + (-2 * 4 + 2z * 4) 4 + 6z = 11 + (-8 + 8z) Combine like terms: 11 + -8 = 3 4 + 6z = 3 + 8z Solving 4 + 6z = 3 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 4 + 6z + -8z = 3 + 8z + -8z Combine like terms: 6z + -8z = -2z 4 + -2z = 3 + 8z + -8z Combine like terms: 8z + -8z = 0 4 + -2z = 3 + 0 4 + -2z = 3 Add '-4' to each side of the equation. 4 + -4 + -2z = 3 + -4 Combine like terms: 4 + -4 = 0 0 + -2z = 3 + -4 -2z = 3 + -4 Combine like terms: 3 + -4 = -1 -2z = -1 Divide each side by '-2'. z = 0.5 Simplifying z = 0.5
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