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Simplifying 4z + -8 = 9 + 3(z + 3) Reorder the terms: -8 + 4z = 9 + 3(z + 3) Reorder the terms: -8 + 4z = 9 + 3(3 + z) -8 + 4z = 9 + (3 * 3 + z * 3) -8 + 4z = 9 + (9 + 3z) Combine like terms: 9 + 9 = 18 -8 + 4z = 18 + 3z Solving -8 + 4z = 18 + 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. -8 + 4z + -3z = 18 + 3z + -3z Combine like terms: 4z + -3z = 1z -8 + 1z = 18 + 3z + -3z Combine like terms: 3z + -3z = 0 -8 + 1z = 18 + 0 -8 + 1z = 18 Add '8' to each side of the equation. -8 + 8 + 1z = 18 + 8 Combine like terms: -8 + 8 = 0 0 + 1z = 18 + 8 1z = 18 + 8 Combine like terms: 18 + 8 = 26 1z = 26 Divide each side by '1'. z = 26 Simplifying z = 26
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