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Simplifying -4 + -5(-4z + 4) = -3(6z + -5) + 8 Reorder the terms: -4 + -5(4 + -4z) = -3(6z + -5) + 8 -4 + (4 * -5 + -4z * -5) = -3(6z + -5) + 8 -4 + (-20 + 20z) = -3(6z + -5) + 8 Combine like terms: -4 + -20 = -24 -24 + 20z = -3(6z + -5) + 8 Reorder the terms: -24 + 20z = -3(-5 + 6z) + 8 -24 + 20z = (-5 * -3 + 6z * -3) + 8 -24 + 20z = (15 + -18z) + 8 Reorder the terms: -24 + 20z = 15 + 8 + -18z Combine like terms: 15 + 8 = 23 -24 + 20z = 23 + -18z Solving -24 + 20z = 23 + -18z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '18z' to each side of the equation. -24 + 20z + 18z = 23 + -18z + 18z Combine like terms: 20z + 18z = 38z -24 + 38z = 23 + -18z + 18z Combine like terms: -18z + 18z = 0 -24 + 38z = 23 + 0 -24 + 38z = 23 Add '24' to each side of the equation. -24 + 24 + 38z = 23 + 24 Combine like terms: -24 + 24 = 0 0 + 38z = 23 + 24 38z = 23 + 24 Combine like terms: 23 + 24 = 47 38z = 47 Divide each side by '38'. z = 1.236842105 Simplifying z = 1.236842105
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