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Simplifying 9 + -1(2 + 1) + 3z = 11 + 4(2z + -1) + -5 Combine like terms: 2 + 1 = 3 9 + -1(3) + 3z = 11 + 4(2z + -1) + -5 Multiply -1 * 3 9 + -3 + 3z = 11 + 4(2z + -1) + -5 Combine like terms: 9 + -3 = 6 6 + 3z = 11 + 4(2z + -1) + -5 Reorder the terms: 6 + 3z = 11 + 4(-1 + 2z) + -5 6 + 3z = 11 + (-1 * 4 + 2z * 4) + -5 6 + 3z = 11 + (-4 + 8z) + -5 Reorder the terms: 6 + 3z = 11 + -4 + -5 + 8z Combine like terms: 11 + -4 = 7 6 + 3z = 7 + -5 + 8z Combine like terms: 7 + -5 = 2 6 + 3z = 2 + 8z Solving 6 + 3z = 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. 6 + 3z + -8z = 2 + 8z + -8z Combine like terms: 3z + -8z = -5z 6 + -5z = 2 + 8z + -8z Combine like terms: 8z + -8z = 0 6 + -5z = 2 + 0 6 + -5z = 2 Add '-6' to each side of the equation. 6 + -6 + -5z = 2 + -6 Combine like terms: 6 + -6 = 0 0 + -5z = 2 + -6 -5z = 2 + -6 Combine like terms: 2 + -6 = -4 -5z = -4 Divide each side by '-5'. z = 0.8 Simplifying z = 0.8
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