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Simplifying z + 3z + -15 = 27 + 2z Reorder the terms: -15 + z + 3z = 27 + 2z Combine like terms: z + 3z = 4z -15 + 4z = 27 + 2z Solving -15 + 4z = 27 + 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. -15 + 4z + -2z = 27 + 2z + -2z Combine like terms: 4z + -2z = 2z -15 + 2z = 27 + 2z + -2z Combine like terms: 2z + -2z = 0 -15 + 2z = 27 + 0 -15 + 2z = 27 Add '15' to each side of the equation. -15 + 15 + 2z = 27 + 15 Combine like terms: -15 + 15 = 0 0 + 2z = 27 + 15 2z = 27 + 15 Combine like terms: 27 + 15 = 42 2z = 42 Divide each side by '2'. z = 21 Simplifying z = 21
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