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Simplifying 6 + z = 21 + (-2z) Solving 6 + z = 21 + (-2z) Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '(2z)' to each side of the equation. 6 + z + (2z) = 21 + (-2z) + (2z) Combine like terms: z + (2z) = 3z 6 + 3z = 21 + (-2z) + (2z) Combine like terms: (-2z) + (2z) = 0 6 + 3z = 21 + 0 6 + 3z = 21 Add '-6' to each side of the equation. 6 + -6 + 3z = 21 + -6 Combine like terms: 6 + -6 = 0 0 + 3z = 21 + -6 3z = 21 + -6 Combine like terms: 21 + -6 = 15 3z = 15 Divide each side by '3'. z = 5 Simplifying z = 5
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