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Simplifying 8 + -8z = 2(-3z + 7) Reorder the terms: 8 + -8z = 2(7 + -3z) 8 + -8z = (7 * 2 + -3z * 2) 8 + -8z = (14 + -6z) Solving 8 + -8z = 14 + -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. 8 + -8z + 6z = 14 + -6z + 6z Combine like terms: -8z + 6z = -2z 8 + -2z = 14 + -6z + 6z Combine like terms: -6z + 6z = 0 8 + -2z = 14 + 0 8 + -2z = 14 Add '-8' to each side of the equation. 8 + -8 + -2z = 14 + -8 Combine like terms: 8 + -8 = 0 0 + -2z = 14 + -8 -2z = 14 + -8 Combine like terms: 14 + -8 = 6 -2z = 6 Divide each side by '-2'. z = -3 Simplifying z = -3
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