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Simplifying 11z + -1 = 13z + -19 Reorder the terms: -1 + 11z = 13z + -19 Reorder the terms: -1 + 11z = -19 + 13z Solving -1 + 11z = -19 + 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. -1 + 11z + -13z = -19 + 13z + -13z Combine like terms: 11z + -13z = -2z -1 + -2z = -19 + 13z + -13z Combine like terms: 13z + -13z = 0 -1 + -2z = -19 + 0 -1 + -2z = -19 Add '1' to each side of the equation. -1 + 1 + -2z = -19 + 1 Combine like terms: -1 + 1 = 0 0 + -2z = -19 + 1 -2z = -19 + 1 Combine like terms: -19 + 1 = -18 -2z = -18 Divide each side by '-2'. z = 9 Simplifying z = 9
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