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Simplifying 6z + -28 = -42 + 8z Reorder the terms: -28 + 6z = -42 + 8z Solving -28 + 6z = -42 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. -28 + 6z + -8z = -42 + 8z + -8z Combine like terms: 6z + -8z = -2z -28 + -2z = -42 + 8z + -8z Combine like terms: 8z + -8z = 0 -28 + -2z = -42 + 0 -28 + -2z = -42 Add '28' to each side of the equation. -28 + 28 + -2z = -42 + 28 Combine like terms: -28 + 28 = 0 0 + -2z = -42 + 28 -2z = -42 + 28 Combine like terms: -42 + 28 = -14 -2z = -14 Divide each side by '-2'. z = 7 Simplifying z = 7
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