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Simplifying -9 + -4(3z + -8) = -6(-4z + -7) + 3 Reorder the terms: -9 + -4(-8 + 3z) = -6(-4z + -7) + 3 -9 + (-8 * -4 + 3z * -4) = -6(-4z + -7) + 3 -9 + (32 + -12z) = -6(-4z + -7) + 3 Combine like terms: -9 + 32 = 23 23 + -12z = -6(-4z + -7) + 3 Reorder the terms: 23 + -12z = -6(-7 + -4z) + 3 23 + -12z = (-7 * -6 + -4z * -6) + 3 23 + -12z = (42 + 24z) + 3 Reorder the terms: 23 + -12z = 42 + 3 + 24z Combine like terms: 42 + 3 = 45 23 + -12z = 45 + 24z Solving 23 + -12z = 45 + 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. 23 + -12z + -24z = 45 + 24z + -24z Combine like terms: -12z + -24z = -36z 23 + -36z = 45 + 24z + -24z Combine like terms: 24z + -24z = 0 23 + -36z = 45 + 0 23 + -36z = 45 Add '-23' to each side of the equation. 23 + -23 + -36z = 45 + -23 Combine like terms: 23 + -23 = 0 0 + -36z = 45 + -23 -36z = 45 + -23 Combine like terms: 45 + -23 = 22 -36z = 22 Divide each side by '-36'. z = -0.6111111111 Simplifying z = -0.6111111111
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