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Simplifying 5(z + -6) + 6z = 5 + -4z Reorder the terms: 5(-6 + z) + 6z = 5 + -4z (-6 * 5 + z * 5) + 6z = 5 + -4z (-30 + 5z) + 6z = 5 + -4z Combine like terms: 5z + 6z = 11z -30 + 11z = 5 + -4z Solving -30 + 11z = 5 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. -30 + 11z + 4z = 5 + -4z + 4z Combine like terms: 11z + 4z = 15z -30 + 15z = 5 + -4z + 4z Combine like terms: -4z + 4z = 0 -30 + 15z = 5 + 0 -30 + 15z = 5 Add '30' to each side of the equation. -30 + 30 + 15z = 5 + 30 Combine like terms: -30 + 30 = 0 0 + 15z = 5 + 30 15z = 5 + 30 Combine like terms: 5 + 30 = 35 15z = 35 Divide each side by '15'. z = 2.333333333 Simplifying z = 2.333333333
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