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Simplifying (3z + -4) = (z + 6) Reorder the terms: (-4 + 3z) = (z + 6) Remove parenthesis around (-4 + 3z) -4 + 3z = (z + 6) Reorder the terms: -4 + 3z = (6 + z) Remove parenthesis around (6 + z) -4 + 3z = 6 + z Solving -4 + 3z = 6 + 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. -4 + 3z + -1z = 6 + z + -1z Combine like terms: 3z + -1z = 2z -4 + 2z = 6 + z + -1z Combine like terms: z + -1z = 0 -4 + 2z = 6 + 0 -4 + 2z = 6 Add '4' to each side of the equation. -4 + 4 + 2z = 6 + 4 Combine like terms: -4 + 4 = 0 0 + 2z = 6 + 4 2z = 6 + 4 Combine like terms: 6 + 4 = 10 2z = 10 Divide each side by '2'. z = 5 Simplifying z = 5
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