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Simplifying 15 + z = 6 + 3z Solving 15 + z = 6 + 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. 15 + z + -3z = 6 + 3z + -3z Combine like terms: z + -3z = -2z 15 + -2z = 6 + 3z + -3z Combine like terms: 3z + -3z = 0 15 + -2z = 6 + 0 15 + -2z = 6 Add '-15' to each side of the equation. 15 + -15 + -2z = 6 + -15 Combine like terms: 15 + -15 = 0 0 + -2z = 6 + -15 -2z = 6 + -15 Combine like terms: 6 + -15 = -9 -2z = -9 Divide each side by '-2'. z = 4.5 Simplifying z = 4.5
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