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Simplifying 5(10 + -2z) = 10 + -6z (10 * 5 + -2z * 5) = 10 + -6z (50 + -10z) = 10 + -6z Solving 50 + -10z = 10 + -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. 50 + -10z + 6z = 10 + -6z + 6z Combine like terms: -10z + 6z = -4z 50 + -4z = 10 + -6z + 6z Combine like terms: -6z + 6z = 0 50 + -4z = 10 + 0 50 + -4z = 10 Add '-50' to each side of the equation. 50 + -50 + -4z = 10 + -50 Combine like terms: 50 + -50 = 0 0 + -4z = 10 + -50 -4z = 10 + -50 Combine like terms: 10 + -50 = -40 -4z = -40 Divide each side by '-4'. z = 10 Simplifying z = 10
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