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Simplifying 24 + 4(z + -4) = 6z + -2 Reorder the terms: 24 + 4(-4 + z) = 6z + -2 24 + (-4 * 4 + z * 4) = 6z + -2 24 + (-16 + 4z) = 6z + -2 Combine like terms: 24 + -16 = 8 8 + 4z = 6z + -2 Reorder the terms: 8 + 4z = -2 + 6z Solving 8 + 4z = -2 + 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. 8 + 4z + -6z = -2 + 6z + -6z Combine like terms: 4z + -6z = -2z 8 + -2z = -2 + 6z + -6z Combine like terms: 6z + -6z = 0 8 + -2z = -2 + 0 8 + -2z = -2 Add '-8' to each side of the equation. 8 + -8 + -2z = -2 + -8 Combine like terms: 8 + -8 = 0 0 + -2z = -2 + -8 -2z = -2 + -8 Combine like terms: -2 + -8 = -10 -2z = -10 Divide each side by '-2'. z = 5 Simplifying z = 5
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