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Simplifying 7z + -10z + -16 = 4 + 3z Reorder the terms: -16 + 7z + -10z = 4 + 3z Combine like terms: 7z + -10z = -3z -16 + -3z = 4 + 3z Solving -16 + -3z = 4 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -16 + -3z + -3z = 4 + 3z + -3z Combine like terms: -3z + -3z = -6z -16 + -6z = 4 + 3z + -3z Combine like terms: 3z + -3z = 0 -16 + -6z = 4 + 0 -16 + -6z = 4 Add '16' to each side of the equation. -16 + 16 + -6z = 4 + 16 Combine like terms: -16 + 16 = 0 0 + -6z = 4 + 16 -6z = 4 + 16 Combine like terms: 4 + 16 = 20 -6z = 20 Divide each side by '-6'. z = -3.333333333 Simplifying z = -3.333333333
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