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Simplifying 9 + 6(-3z + -4) = 5(-8z + -6) + -2 Reorder the terms: 9 + 6(-4 + -3z) = 5(-8z + -6) + -2 9 + (-4 * 6 + -3z * 6) = 5(-8z + -6) + -2 9 + (-24 + -18z) = 5(-8z + -6) + -2 Combine like terms: 9 + -24 = -15 -15 + -18z = 5(-8z + -6) + -2 Reorder the terms: -15 + -18z = 5(-6 + -8z) + -2 -15 + -18z = (-6 * 5 + -8z * 5) + -2 -15 + -18z = (-30 + -40z) + -2 Reorder the terms: -15 + -18z = -30 + -2 + -40z Combine like terms: -30 + -2 = -32 -15 + -18z = -32 + -40z Solving -15 + -18z = -32 + -40z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '40z' to each side of the equation. -15 + -18z + 40z = -32 + -40z + 40z Combine like terms: -18z + 40z = 22z -15 + 22z = -32 + -40z + 40z Combine like terms: -40z + 40z = 0 -15 + 22z = -32 + 0 -15 + 22z = -32 Add '15' to each side of the equation. -15 + 15 + 22z = -32 + 15 Combine like terms: -15 + 15 = 0 0 + 22z = -32 + 15 22z = -32 + 15 Combine like terms: -32 + 15 = -17 22z = -17 Divide each side by '22'. z = -0.7727272727 Simplifying z = -0.7727272727
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