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Simplifying 11z + 7 = 13z + -21 Reorder the terms: 7 + 11z = 13z + -21 Reorder the terms: 7 + 11z = -21 + 13z Solving 7 + 11z = -21 + 13z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-13z' to each side of the equation. 7 + 11z + -13z = -21 + 13z + -13z Combine like terms: 11z + -13z = -2z 7 + -2z = -21 + 13z + -13z Combine like terms: 13z + -13z = 0 7 + -2z = -21 + 0 7 + -2z = -21 Add '-7' to each side of the equation. 7 + -7 + -2z = -21 + -7 Combine like terms: 7 + -7 = 0 0 + -2z = -21 + -7 -2z = -21 + -7 Combine like terms: -21 + -7 = -28 -2z = -28 Divide each side by '-2'. z = 14 Simplifying z = 14
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