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Simplifying 5(z + -2) + 5z + -2 = 0 Reorder the terms: 5(-2 + z) + 5z + -2 = 0 (-2 * 5 + z * 5) + 5z + -2 = 0 (-10 + 5z) + 5z + -2 = 0 Reorder the terms: -10 + -2 + 5z + 5z = 0 Combine like terms: -10 + -2 = -12 -12 + 5z + 5z = 0 Combine like terms: 5z + 5z = 10z -12 + 10z = 0 Solving -12 + 10z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 10z = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 10z = 0 + 12 10z = 0 + 12 Combine like terms: 0 + 12 = 12 10z = 12 Divide each side by '10'. z = 1.2 Simplifying z = 1.2
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