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Simplifying 7z + -21 = 10z + -4 Reorder the terms: -21 + 7z = 10z + -4 Reorder the terms: -21 + 7z = -4 + 10z Solving -21 + 7z = -4 + 10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-10z' to each side of the equation. -21 + 7z + -10z = -4 + 10z + -10z Combine like terms: 7z + -10z = -3z -21 + -3z = -4 + 10z + -10z Combine like terms: 10z + -10z = 0 -21 + -3z = -4 + 0 -21 + -3z = -4 Add '21' to each side of the equation. -21 + 21 + -3z = -4 + 21 Combine like terms: -21 + 21 = 0 0 + -3z = -4 + 21 -3z = -4 + 21 Combine like terms: -4 + 21 = 17 -3z = 17 Divide each side by '-3'. z = -5.666666667 Simplifying z = -5.666666667
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