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Simplifying 10z + -40 + -3z + -2 = -2 + -6z + -2 Reorder the terms: -40 + -2 + 10z + -3z = -2 + -6z + -2 Combine like terms: -40 + -2 = -42 -42 + 10z + -3z = -2 + -6z + -2 Combine like terms: 10z + -3z = 7z -42 + 7z = -2 + -6z + -2 Reorder the terms: -42 + 7z = -2 + -2 + -6z Combine like terms: -2 + -2 = -4 -42 + 7z = -4 + -6z Solving -42 + 7z = -4 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. -42 + 7z + 6z = -4 + -6z + 6z Combine like terms: 7z + 6z = 13z -42 + 13z = -4 + -6z + 6z Combine like terms: -6z + 6z = 0 -42 + 13z = -4 + 0 -42 + 13z = -4 Add '42' to each side of the equation. -42 + 42 + 13z = -4 + 42 Combine like terms: -42 + 42 = 0 0 + 13z = -4 + 42 13z = -4 + 42 Combine like terms: -4 + 42 = 38 13z = 38 Divide each side by '13'. z = 2.923076923 Simplifying z = 2.923076923
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