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Simplifying -4(10z + 4) = -6(-8 + 12z) Reorder the terms: -4(4 + 10z) = -6(-8 + 12z) (4 * -4 + 10z * -4) = -6(-8 + 12z) (-16 + -40z) = -6(-8 + 12z) -16 + -40z = (-8 * -6 + 12z * -6) -16 + -40z = (48 + -72z) Solving -16 + -40z = 48 + -72z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '72z' to each side of the equation. -16 + -40z + 72z = 48 + -72z + 72z Combine like terms: -40z + 72z = 32z -16 + 32z = 48 + -72z + 72z Combine like terms: -72z + 72z = 0 -16 + 32z = 48 + 0 -16 + 32z = 48 Add '16' to each side of the equation. -16 + 16 + 32z = 48 + 16 Combine like terms: -16 + 16 = 0 0 + 32z = 48 + 16 32z = 48 + 16 Combine like terms: 48 + 16 = 64 32z = 64 Divide each side by '32'. z = 2 Simplifying z = 2
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