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Simplifying 10(3z + -4) = 6 Reorder the terms: 10(-4 + 3z) = 6 (-4 * 10 + 3z * 10) = 6 (-40 + 30z) = 6 Solving -40 + 30z = 6 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 30z = 6 + 40 Combine like terms: -40 + 40 = 0 0 + 30z = 6 + 40 30z = 6 + 40 Combine like terms: 6 + 40 = 46 30z = 46 Divide each side by '30'. z = 1.533333333 Simplifying z = 1.533333333
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