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Simplifying 14 + -7z + -15 = 8z + 29 + -5z Reorder the terms: 14 + -15 + -7z = 8z + 29 + -5z Combine like terms: 14 + -15 = -1 -1 + -7z = 8z + 29 + -5z Reorder the terms: -1 + -7z = 29 + 8z + -5z Combine like terms: 8z + -5z = 3z -1 + -7z = 29 + 3z Solving -1 + -7z = 29 + 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. -1 + -7z + -3z = 29 + 3z + -3z Combine like terms: -7z + -3z = -10z -1 + -10z = 29 + 3z + -3z Combine like terms: 3z + -3z = 0 -1 + -10z = 29 + 0 -1 + -10z = 29 Add '1' to each side of the equation. -1 + 1 + -10z = 29 + 1 Combine like terms: -1 + 1 = 0 0 + -10z = 29 + 1 -10z = 29 + 1 Combine like terms: 29 + 1 = 30 -10z = 30 Divide each side by '-10'. z = -3 Simplifying z = -3
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