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Simplifying 8z + -2 + -2z + -19 = -4 + 3z + 10 Reorder the terms: -2 + -19 + 8z + -2z = -4 + 3z + 10 Combine like terms: -2 + -19 = -21 -21 + 8z + -2z = -4 + 3z + 10 Combine like terms: 8z + -2z = 6z -21 + 6z = -4 + 3z + 10 Reorder the terms: -21 + 6z = -4 + 10 + 3z Combine like terms: -4 + 10 = 6 -21 + 6z = 6 + 3z Solving -21 + 6z = 6 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -21 + 6z + -3z = 6 + 3z + -3z Combine like terms: 6z + -3z = 3z -21 + 3z = 6 + 3z + -3z Combine like terms: 3z + -3z = 0 -21 + 3z = 6 + 0 -21 + 3z = 6 Add '21' to each side of the equation. -21 + 21 + 3z = 6 + 21 Combine like terms: -21 + 21 = 0 0 + 3z = 6 + 21 3z = 6 + 21 Combine like terms: 6 + 21 = 27 3z = 27 Divide each side by '3'. z = 9 Simplifying z = 9
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