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Simplifying 13 + z = 4 + 3z Solving 13 + z = 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. 13 + z + -3z = 4 + 3z + -3z Combine like terms: z + -3z = -2z 13 + -2z = 4 + 3z + -3z Combine like terms: 3z + -3z = 0 13 + -2z = 4 + 0 13 + -2z = 4 Add '-13' to each side of the equation. 13 + -13 + -2z = 4 + -13 Combine like terms: 13 + -13 = 0 0 + -2z = 4 + -13 -2z = 4 + -13 Combine like terms: 4 + -13 = -9 -2z = -9 Divide each side by '-2'. z = 4.5 Simplifying z = 4.5
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