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Simplifying 6z + 4 = 2(4z + -1) Reorder the terms: 4 + 6z = 2(4z + -1) Reorder the terms: 4 + 6z = 2(-1 + 4z) 4 + 6z = (-1 * 2 + 4z * 2) 4 + 6z = (-2 + 8z) Solving 4 + 6z = -2 + 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 = -2 + 8z + -8z Combine like terms: 6z + -8z = -2z 4 + -2z = -2 + 8z + -8z Combine like terms: 8z + -8z = 0 4 + -2z = -2 + 0 4 + -2z = -2 Add '-4' to each side of the equation. 4 + -4 + -2z = -2 + -4 Combine like terms: 4 + -4 = 0 0 + -2z = -2 + -4 -2z = -2 + -4 Combine like terms: -2 + -4 = -6 -2z = -6 Divide each side by '-2'. z = 3 Simplifying z = 3
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