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Simplifying 4(-1y + -2z + 11) + 4y + 9z = 49 Reorder the terms: 4(11 + -1y + -2z) + 4y + 9z = 49 (11 * 4 + -1y * 4 + -2z * 4) + 4y + 9z = 49 (44 + -4y + -8z) + 4y + 9z = 49 Reorder the terms: 44 + -4y + 4y + -8z + 9z = 49 Combine like terms: -4y + 4y = 0 44 + 0 + -8z + 9z = 49 44 + -8z + 9z = 49 Combine like terms: -8z + 9z = 1z 44 + 1z = 49 Solving 44 + 1z = 49 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + 1z = 49 + -44 Combine like terms: 44 + -44 = 0 0 + 1z = 49 + -44 1z = 49 + -44 Combine like terms: 49 + -44 = 5 1z = 5 Divide each side by '1'. z = 5 Simplifying z = 5
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