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Simplifying 16(z + 3) = 5(d + 8) Reorder the terms: 16(3 + z) = 5(d + 8) (3 * 16 + z * 16) = 5(d + 8) (48 + 16z) = 5(d + 8) Reorder the terms: 48 + 16z = 5(8 + d) 48 + 16z = (8 * 5 + d * 5) 48 + 16z = (40 + 5d) Solving 48 + 16z = 40 + 5d Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -48 + 16z = 40 + -48 + 5d Combine like terms: 48 + -48 = 0 0 + 16z = 40 + -48 + 5d 16z = 40 + -48 + 5d Combine like terms: 40 + -48 = -8 16z = -8 + 5d Divide each side by '16'. z = -0.5 + 0.3125d Simplifying z = -0.5 + 0.3125d
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