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Simplifying -5z + 3z + -7 = 8z + -7 Reorder the terms: -7 + -5z + 3z = 8z + -7 Combine like terms: -5z + 3z = -2z -7 + -2z = 8z + -7 Reorder the terms: -7 + -2z = -7 + 8z Add '7' to each side of the equation. -7 + 7 + -2z = -7 + 7 + 8z Combine like terms: -7 + 7 = 0 0 + -2z = -7 + 7 + 8z -2z = -7 + 7 + 8z Combine like terms: -7 + 7 = 0 -2z = 0 + 8z -2z = 8z Solving -2z = 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. -2z + -8z = 8z + -8z Combine like terms: -2z + -8z = -10z -10z = 8z + -8z Combine like terms: 8z + -8z = 0 -10z = 0 Divide each side by '-10'. z = 0.0 Simplifying z = 0.0
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