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Simplifying 15 + -3z = 4z + -6 Reorder the terms: 15 + -3z = -6 + 4z Solving 15 + -3z = -6 + 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. 15 + -3z + -4z = -6 + 4z + -4z Combine like terms: -3z + -4z = -7z 15 + -7z = -6 + 4z + -4z Combine like terms: 4z + -4z = 0 15 + -7z = -6 + 0 15 + -7z = -6 Add '-15' to each side of the equation. 15 + -15 + -7z = -6 + -15 Combine like terms: 15 + -15 = 0 0 + -7z = -6 + -15 -7z = -6 + -15 Combine like terms: -6 + -15 = -21 -7z = -21 Divide each side by '-7'. z = 3 Simplifying z = 3
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