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Simplifying 4(z + -4) + 5z = 6z + 11 Reorder the terms: 4(-4 + z) + 5z = 6z + 11 (-4 * 4 + z * 4) + 5z = 6z + 11 (-16 + 4z) + 5z = 6z + 11 Combine like terms: 4z + 5z = 9z -16 + 9z = 6z + 11 Reorder the terms: -16 + 9z = 11 + 6z Solving -16 + 9z = 11 + 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. -16 + 9z + -6z = 11 + 6z + -6z Combine like terms: 9z + -6z = 3z -16 + 3z = 11 + 6z + -6z Combine like terms: 6z + -6z = 0 -16 + 3z = 11 + 0 -16 + 3z = 11 Add '16' to each side of the equation. -16 + 16 + 3z = 11 + 16 Combine like terms: -16 + 16 = 0 0 + 3z = 11 + 16 3z = 11 + 16 Combine like terms: 11 + 16 = 27 3z = 27 Divide each side by '3'. z = 9 Simplifying z = 9
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