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Simplifying 10 = -10z + -4(9z + 2) Reorder the terms: 10 = -10z + -4(2 + 9z) 10 = -10z + (2 * -4 + 9z * -4) 10 = -10z + (-8 + -36z) Reorder the terms: 10 = -8 + -10z + -36z Combine like terms: -10z + -36z = -46z 10 = -8 + -46z Solving 10 = -8 + -46z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '46z' to each side of the equation. 10 + 46z = -8 + -46z + 46z Combine like terms: -46z + 46z = 0 10 + 46z = -8 + 0 10 + 46z = -8 Add '-10' to each side of the equation. 10 + -10 + 46z = -8 + -10 Combine like terms: 10 + -10 = 0 0 + 46z = -8 + -10 46z = -8 + -10 Combine like terms: -8 + -10 = -18 46z = -18 Divide each side by '46'. z = -0.3913043478 Simplifying z = -0.3913043478
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