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Simplifying 29 + -2z = -4(6z + -8) Reorder the terms: 29 + -2z = -4(-8 + 6z) 29 + -2z = (-8 * -4 + 6z * -4) 29 + -2z = (32 + -24z) Solving 29 + -2z = 32 + -24z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '24z' to each side of the equation. 29 + -2z + 24z = 32 + -24z + 24z Combine like terms: -2z + 24z = 22z 29 + 22z = 32 + -24z + 24z Combine like terms: -24z + 24z = 0 29 + 22z = 32 + 0 29 + 22z = 32 Add '-29' to each side of the equation. 29 + -29 + 22z = 32 + -29 Combine like terms: 29 + -29 = 0 0 + 22z = 32 + -29 22z = 32 + -29 Combine like terms: 32 + -29 = 3 22z = 3 Divide each side by '22'. z = 0.1363636364 Simplifying z = 0.1363636364
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