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Simplifying 6(3z + -2) = 42 Reorder the terms: 6(-2 + 3z) = 42 (-2 * 6 + 3z * 6) = 42 (-12 + 18z) = 42 Solving -12 + 18z = 42 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 18z = 42 + 12 Combine like terms: -12 + 12 = 0 0 + 18z = 42 + 12 18z = 42 + 12 Combine like terms: 42 + 12 = 54 18z = 54 Divide each side by '18'. z = 3 Simplifying z = 3
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