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Simplifying -1(10z + -1(17z + 3)) = 3 + (6x + 4) Reorder the terms: -1(10z + -1(3 + 17z)) = 3 + (6x + 4) -1(10z + (3 * -1 + 17z * -1)) = 3 + (6x + 4) -1(10z + (-3 + -17z)) = 3 + (6x + 4) Reorder the terms: -1(-3 + 10z + -17z) = 3 + (6x + 4) Combine like terms: 10z + -17z = -7z -1(-3 + -7z) = 3 + (6x + 4) (-3 * -1 + -7z * -1) = 3 + (6x + 4) (3 + 7z) = 3 + (6x + 4) Reorder the terms: 3 + 7z = 3 + (4 + 6x) Remove parenthesis around (4 + 6x) 3 + 7z = 3 + 4 + 6x Combine like terms: 3 + 4 = 7 3 + 7z = 7 + 6x Solving 3 + 7z = 7 + 6x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 7z = 7 + -3 + 6x Combine like terms: 3 + -3 = 0 0 + 7z = 7 + -3 + 6x 7z = 7 + -3 + 6x Combine like terms: 7 + -3 = 4 7z = 4 + 6x Divide each side by '7'. z = 0.5714285714 + 0.8571428571x Simplifying z = 0.5714285714 + 0.8571428571x
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