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Simplifying 16 + -3z = 7 + -1(13z + 1) Reorder the terms: 16 + -3z = 7 + -1(1 + 13z) 16 + -3z = 7 + (1 * -1 + 13z * -1) 16 + -3z = 7 + (-1 + -13z) Combine like terms: 7 + -1 = 6 16 + -3z = 6 + -13z Solving 16 + -3z = 6 + -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. 16 + -3z + 13z = 6 + -13z + 13z Combine like terms: -3z + 13z = 10z 16 + 10z = 6 + -13z + 13z Combine like terms: -13z + 13z = 0 16 + 10z = 6 + 0 16 + 10z = 6 Add '-16' to each side of the equation. 16 + -16 + 10z = 6 + -16 Combine like terms: 16 + -16 = 0 0 + 10z = 6 + -16 10z = 6 + -16 Combine like terms: 6 + -16 = -10 10z = -10 Divide each side by '10'. z = -1 Simplifying z = -1
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