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Simplifying 3z + 13 = 2z + 6 Reorder the terms: 13 + 3z = 2z + 6 Reorder the terms: 13 + 3z = 6 + 2z Solving 13 + 3z = 6 + 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. 13 + 3z + -2z = 6 + 2z + -2z Combine like terms: 3z + -2z = 1z 13 + 1z = 6 + 2z + -2z Combine like terms: 2z + -2z = 0 13 + 1z = 6 + 0 13 + 1z = 6 Add '-13' to each side of the equation. 13 + -13 + 1z = 6 + -13 Combine like terms: 13 + -13 = 0 0 + 1z = 6 + -13 1z = 6 + -13 Combine like terms: 6 + -13 = -7 1z = -7 Divide each side by '1'. z = -7 Simplifying z = -7
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