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Simplifying 2.85z + -7 = 12.85z + -2 Reorder the terms: -7 + 2.85z = 12.85z + -2 Reorder the terms: -7 + 2.85z = -2 + 12.85z Solving -7 + 2.85z = -2 + 12.85z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12.85z' to each side of the equation. -7 + 2.85z + -12.85z = -2 + 12.85z + -12.85z Combine like terms: 2.85z + -12.85z = -10z -7 + -10z = -2 + 12.85z + -12.85z Combine like terms: 12.85z + -12.85z = 0.00 -7 + -10z = -2 + 0.00 -7 + -10z = -2 Add '7' to each side of the equation. -7 + 7 + -10z = -2 + 7 Combine like terms: -7 + 7 = 0 0 + -10z = -2 + 7 -10z = -2 + 7 Combine like terms: -2 + 7 = 5 -10z = 5 Divide each side by '-10'. z = -0.5 Simplifying z = -0.5
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