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Simplifying 16(6z + 2) = -8(8z + -20) Reorder the terms: 16(2 + 6z) = -8(8z + -20) (2 * 16 + 6z * 16) = -8(8z + -20) (32 + 96z) = -8(8z + -20) Reorder the terms: 32 + 96z = -8(-20 + 8z) 32 + 96z = (-20 * -8 + 8z * -8) 32 + 96z = (160 + -64z) Solving 32 + 96z = 160 + -64z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '64z' to each side of the equation. 32 + 96z + 64z = 160 + -64z + 64z Combine like terms: 96z + 64z = 160z 32 + 160z = 160 + -64z + 64z Combine like terms: -64z + 64z = 0 32 + 160z = 160 + 0 32 + 160z = 160 Add '-32' to each side of the equation. 32 + -32 + 160z = 160 + -32 Combine like terms: 32 + -32 = 0 0 + 160z = 160 + -32 160z = 160 + -32 Combine like terms: 160 + -32 = 128 160z = 128 Divide each side by '160'. z = 0.8 Simplifying z = 0.8
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