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Simplifying 3z + -15 = -43 + 7z Reorder the terms: -15 + 3z = -43 + 7z Solving -15 + 3z = -43 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. -15 + 3z + -7z = -43 + 7z + -7z Combine like terms: 3z + -7z = -4z -15 + -4z = -43 + 7z + -7z Combine like terms: 7z + -7z = 0 -15 + -4z = -43 + 0 -15 + -4z = -43 Add '15' to each side of the equation. -15 + 15 + -4z = -43 + 15 Combine like terms: -15 + 15 = 0 0 + -4z = -43 + 15 -4z = -43 + 15 Combine like terms: -43 + 15 = -28 -4z = -28 Divide each side by '-4'. z = 7 Simplifying z = 7
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