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Simplifying 2z + -4(z + 1) = -5(5z + 6) + z Reorder the terms: 2z + -4(1 + z) = -5(5z + 6) + z 2z + (1 * -4 + z * -4) = -5(5z + 6) + z 2z + (-4 + -4z) = -5(5z + 6) + z Reorder the terms: -4 + 2z + -4z = -5(5z + 6) + z Combine like terms: 2z + -4z = -2z -4 + -2z = -5(5z + 6) + z Reorder the terms: -4 + -2z = -5(6 + 5z) + z -4 + -2z = (6 * -5 + 5z * -5) + z -4 + -2z = (-30 + -25z) + z Combine like terms: -25z + z = -24z -4 + -2z = -30 + -24z Solving -4 + -2z = -30 + -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. -4 + -2z + 24z = -30 + -24z + 24z Combine like terms: -2z + 24z = 22z -4 + 22z = -30 + -24z + 24z Combine like terms: -24z + 24z = 0 -4 + 22z = -30 + 0 -4 + 22z = -30 Add '4' to each side of the equation. -4 + 4 + 22z = -30 + 4 Combine like terms: -4 + 4 = 0 0 + 22z = -30 + 4 22z = -30 + 4 Combine like terms: -30 + 4 = -26 22z = -26 Divide each side by '22'. z = -1.181818182 Simplifying z = -1.181818182
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