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Simplifying 5 + -3z = z + -16 Reorder the terms: 5 + -3z = -16 + z Solving 5 + -3z = -16 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. 5 + -3z + -1z = -16 + z + -1z Combine like terms: -3z + -1z = -4z 5 + -4z = -16 + z + -1z Combine like terms: z + -1z = 0 5 + -4z = -16 + 0 5 + -4z = -16 Add '-5' to each side of the equation. 5 + -5 + -4z = -16 + -5 Combine like terms: 5 + -5 = 0 0 + -4z = -16 + -5 -4z = -16 + -5 Combine like terms: -16 + -5 = -21 -4z = -21 Divide each side by '-4'. z = 5.25 Simplifying z = 5.25
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