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Simplifying 9 + -1(z + 1) + 3z = 11 + 4(2z + -1) + -5 Reorder the terms: 9 + -1(1 + z) + 3z = 11 + 4(2z + -1) + -5 9 + (1 * -1 + z * -1) + 3z = 11 + 4(2z + -1) + -5 9 + (-1 + -1z) + 3z = 11 + 4(2z + -1) + -5 Combine like terms: 9 + -1 = 8 8 + -1z + 3z = 11 + 4(2z + -1) + -5 Combine like terms: -1z + 3z = 2z 8 + 2z = 11 + 4(2z + -1) + -5 Reorder the terms: 8 + 2z = 11 + 4(-1 + 2z) + -5 8 + 2z = 11 + (-1 * 4 + 2z * 4) + -5 8 + 2z = 11 + (-4 + 8z) + -5 Reorder the terms: 8 + 2z = 11 + -4 + -5 + 8z Combine like terms: 11 + -4 = 7 8 + 2z = 7 + -5 + 8z Combine like terms: 7 + -5 = 2 8 + 2z = 2 + 8z Solving 8 + 2z = 2 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. 8 + 2z + -8z = 2 + 8z + -8z Combine like terms: 2z + -8z = -6z 8 + -6z = 2 + 8z + -8z Combine like terms: 8z + -8z = 0 8 + -6z = 2 + 0 8 + -6z = 2 Add '-8' to each side of the equation. 8 + -8 + -6z = 2 + -8 Combine like terms: 8 + -8 = 0 0 + -6z = 2 + -8 -6z = 2 + -8 Combine like terms: 2 + -8 = -6 -6z = -6 Divide each side by '-6'. z = 1 Simplifying z = 1
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