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Simplifying -9 + 4(3z + -8) = 8(-4z + -5) + 8 Reorder the terms: -9 + 4(-8 + 3z) = 8(-4z + -5) + 8 -9 + (-8 * 4 + 3z * 4) = 8(-4z + -5) + 8 -9 + (-32 + 12z) = 8(-4z + -5) + 8 Combine like terms: -9 + -32 = -41 -41 + 12z = 8(-4z + -5) + 8 Reorder the terms: -41 + 12z = 8(-5 + -4z) + 8 -41 + 12z = (-5 * 8 + -4z * 8) + 8 -41 + 12z = (-40 + -32z) + 8 Reorder the terms: -41 + 12z = -40 + 8 + -32z Combine like terms: -40 + 8 = -32 -41 + 12z = -32 + -32z Solving -41 + 12z = -32 + -32z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '32z' to each side of the equation. -41 + 12z + 32z = -32 + -32z + 32z Combine like terms: 12z + 32z = 44z -41 + 44z = -32 + -32z + 32z Combine like terms: -32z + 32z = 0 -41 + 44z = -32 + 0 -41 + 44z = -32 Add '41' to each side of the equation. -41 + 41 + 44z = -32 + 41 Combine like terms: -41 + 41 = 0 0 + 44z = -32 + 41 44z = -32 + 41 Combine like terms: -32 + 41 = 9 44z = 9 Divide each side by '44'. z = 0.2045454545 Simplifying z = 0.2045454545
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