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Simplifying -8(4z + -6) = 16(2z + -5) Reorder the terms: -8(-6 + 4z) = 16(2z + -5) (-6 * -8 + 4z * -8) = 16(2z + -5) (48 + -32z) = 16(2z + -5) Reorder the terms: 48 + -32z = 16(-5 + 2z) 48 + -32z = (-5 * 16 + 2z * 16) 48 + -32z = (-80 + 32z) Solving 48 + -32z = -80 + 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. 48 + -32z + -32z = -80 + 32z + -32z Combine like terms: -32z + -32z = -64z 48 + -64z = -80 + 32z + -32z Combine like terms: 32z + -32z = 0 48 + -64z = -80 + 0 48 + -64z = -80 Add '-48' to each side of the equation. 48 + -48 + -64z = -80 + -48 Combine like terms: 48 + -48 = 0 0 + -64z = -80 + -48 -64z = -80 + -48 Combine like terms: -80 + -48 = -128 -64z = -128 Divide each side by '-64'. z = 2 Simplifying z = 2
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