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Simplifying 3(5 + -1z) = 2z + 3 + z (5 * 3 + -1z * 3) = 2z + 3 + z (15 + -3z) = 2z + 3 + z Reorder the terms: 15 + -3z = 3 + 2z + z Combine like terms: 2z + z = 3z 15 + -3z = 3 + 3z Solving 15 + -3z = 3 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 15 + -3z + -3z = 3 + 3z + -3z Combine like terms: -3z + -3z = -6z 15 + -6z = 3 + 3z + -3z Combine like terms: 3z + -3z = 0 15 + -6z = 3 + 0 15 + -6z = 3 Add '-15' to each side of the equation. 15 + -15 + -6z = 3 + -15 Combine like terms: 15 + -15 = 0 0 + -6z = 3 + -15 -6z = 3 + -15 Combine like terms: 3 + -15 = -12 -6z = -12 Divide each side by '-6'. z = 2 Simplifying z = 2
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