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Simplifying 4z + -6 = (z + 2) + 8 Reorder the terms: -6 + 4z = (z + 2) + 8 Reorder the terms: -6 + 4z = (2 + z) + 8 Remove parenthesis around (2 + z) -6 + 4z = 2 + z + 8 Reorder the terms: -6 + 4z = 2 + 8 + z Combine like terms: 2 + 8 = 10 -6 + 4z = 10 + z Solving -6 + 4z = 10 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -6 + 4z + -1z = 10 + z + -1z Combine like terms: 4z + -1z = 3z -6 + 3z = 10 + z + -1z Combine like terms: z + -1z = 0 -6 + 3z = 10 + 0 -6 + 3z = 10 Add '6' to each side of the equation. -6 + 6 + 3z = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 3z = 10 + 6 3z = 10 + 6 Combine like terms: 10 + 6 = 16 3z = 16 Divide each side by '3'. z = 5.333333333 Simplifying z = 5.333333333
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