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Simplifying 10(3 + -1z) = 6z + 14 (3 * 10 + -1z * 10) = 6z + 14 (30 + -10z) = 6z + 14 Reorder the terms: 30 + -10z = 14 + 6z Solving 30 + -10z = 14 + 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. 30 + -10z + -6z = 14 + 6z + -6z Combine like terms: -10z + -6z = -16z 30 + -16z = 14 + 6z + -6z Combine like terms: 6z + -6z = 0 30 + -16z = 14 + 0 30 + -16z = 14 Add '-30' to each side of the equation. 30 + -30 + -16z = 14 + -30 Combine like terms: 30 + -30 = 0 0 + -16z = 14 + -30 -16z = 14 + -30 Combine like terms: 14 + -30 = -16 -16z = -16 Divide each side by '-16'. z = 1 Simplifying z = 1
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