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Simplifying 10z + 7(-1z + -7) = -43 Reorder the terms: 10z + 7(-7 + -1z) = -43 10z + (-7 * 7 + -1z * 7) = -43 10z + (-49 + -7z) = -43 Reorder the terms: -49 + 10z + -7z = -43 Combine like terms: 10z + -7z = 3z -49 + 3z = -43 Solving -49 + 3z = -43 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + 3z = -43 + 49 Combine like terms: -49 + 49 = 0 0 + 3z = -43 + 49 3z = -43 + 49 Combine like terms: -43 + 49 = 6 3z = 6 Divide each side by '3'. z = 2 Simplifying z = 2
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