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Simplifying 5z + -15 = 7z + 43 Reorder the terms: -15 + 5z = 7z + 43 Reorder the terms: -15 + 5z = 43 + 7z Solving -15 + 5z = 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 + 5z + -7z = 43 + 7z + -7z Combine like terms: 5z + -7z = -2z -15 + -2z = 43 + 7z + -7z Combine like terms: 7z + -7z = 0 -15 + -2z = 43 + 0 -15 + -2z = 43 Add '15' to each side of the equation. -15 + 15 + -2z = 43 + 15 Combine like terms: -15 + 15 = 0 0 + -2z = 43 + 15 -2z = 43 + 15 Combine like terms: 43 + 15 = 58 -2z = 58 Divide each side by '-2'. z = -29 Simplifying z = -29
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