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