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Simplifying -2(4z + -3) + 9(z + -6) = -32 + -8 Reorder the terms: -2(-3 + 4z) + 9(z + -6) = -32 + -8 (-3 * -2 + 4z * -2) + 9(z + -6) = -32 + -8 (6 + -8z) + 9(z + -6) = -32 + -8 Reorder the terms: 6 + -8z + 9(-6 + z) = -32 + -8 6 + -8z + (-6 * 9 + z * 9) = -32 + -8 6 + -8z + (-54 + 9z) = -32 + -8 Reorder the terms: 6 + -54 + -8z + 9z = -32 + -8 Combine like terms: 6 + -54 = -48 -48 + -8z + 9z = -32 + -8 Combine like terms: -8z + 9z = 1z -48 + 1z = -32 + -8 Combine like terms: -32 + -8 = -40 -48 + 1z = -40 Solving -48 + 1z = -40 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + 1z = -40 + 48 Combine like terms: -48 + 48 = 0 0 + 1z = -40 + 48 1z = -40 + 48 Combine like terms: -40 + 48 = 8 1z = 8 Divide each side by '1'. z = 8 Simplifying z = 8
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