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Simplifying z + 49 = 33 + 3z + -21 Reorder the terms: 49 + z = 33 + 3z + -21 Reorder the terms: 49 + z = 33 + -21 + 3z Combine like terms: 33 + -21 = 12 49 + z = 12 + 3z Solving 49 + z = 12 + 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. 49 + z + -3z = 12 + 3z + -3z Combine like terms: z + -3z = -2z 49 + -2z = 12 + 3z + -3z Combine like terms: 3z + -3z = 0 49 + -2z = 12 + 0 49 + -2z = 12 Add '-49' to each side of the equation. 49 + -49 + -2z = 12 + -49 Combine like terms: 49 + -49 = 0 0 + -2z = 12 + -49 -2z = 12 + -49 Combine like terms: 12 + -49 = -37 -2z = -37 Divide each side by '-2'. z = 18.5 Simplifying z = 18.5
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