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Simplifying 10(z + -1) + -10(10z + 2) = 0 Reorder the terms: 10(-1 + z) + -10(10z + 2) = 0 (-1 * 10 + z * 10) + -10(10z + 2) = 0 (-10 + 10z) + -10(10z + 2) = 0 Reorder the terms: -10 + 10z + -10(2 + 10z) = 0 -10 + 10z + (2 * -10 + 10z * -10) = 0 -10 + 10z + (-20 + -100z) = 0 Reorder the terms: -10 + -20 + 10z + -100z = 0 Combine like terms: -10 + -20 = -30 -30 + 10z + -100z = 0 Combine like terms: 10z + -100z = -90z -30 + -90z = 0 Solving -30 + -90z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -90z = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -90z = 0 + 30 -90z = 0 + 30 Combine like terms: 0 + 30 = 30 -90z = 30 Divide each side by '-90'. z = -0.3333333333 Simplifying z = -0.3333333333
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