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Simplifying 5(2z + -3) + 5 = 4z + 2 Reorder the terms: 5(-3 + 2z) + 5 = 4z + 2 (-3 * 5 + 2z * 5) + 5 = 4z + 2 (-15 + 10z) + 5 = 4z + 2 Reorder the terms: -15 + 5 + 10z = 4z + 2 Combine like terms: -15 + 5 = -10 -10 + 10z = 4z + 2 Reorder the terms: -10 + 10z = 2 + 4z Solving -10 + 10z = 2 + 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. -10 + 10z + -4z = 2 + 4z + -4z Combine like terms: 10z + -4z = 6z -10 + 6z = 2 + 4z + -4z Combine like terms: 4z + -4z = 0 -10 + 6z = 2 + 0 -10 + 6z = 2 Add '10' to each side of the equation. -10 + 10 + 6z = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 6z = 2 + 10 6z = 2 + 10 Combine like terms: 2 + 10 = 12 6z = 12 Divide each side by '6'. z = 2 Simplifying z = 2
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