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Simplifying 1 + 9(-8z + -4) = 8(-4z + -6) + -8 Reorder the terms: 1 + 9(-4 + -8z) = 8(-4z + -6) + -8 1 + (-4 * 9 + -8z * 9) = 8(-4z + -6) + -8 1 + (-36 + -72z) = 8(-4z + -6) + -8 Combine like terms: 1 + -36 = -35 -35 + -72z = 8(-4z + -6) + -8 Reorder the terms: -35 + -72z = 8(-6 + -4z) + -8 -35 + -72z = (-6 * 8 + -4z * 8) + -8 -35 + -72z = (-48 + -32z) + -8 Reorder the terms: -35 + -72z = -48 + -8 + -32z Combine like terms: -48 + -8 = -56 -35 + -72z = -56 + -32z Solving -35 + -72z = -56 + -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. -35 + -72z + 32z = -56 + -32z + 32z Combine like terms: -72z + 32z = -40z -35 + -40z = -56 + -32z + 32z Combine like terms: -32z + 32z = 0 -35 + -40z = -56 + 0 -35 + -40z = -56 Add '35' to each side of the equation. -35 + 35 + -40z = -56 + 35 Combine like terms: -35 + 35 = 0 0 + -40z = -56 + 35 -40z = -56 + 35 Combine like terms: -56 + 35 = -21 -40z = -21 Divide each side by '-40'. z = 0.525 Simplifying z = 0.525
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