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Simplifying 11(z + 2) + -4(z + -1) = 2(z + -3) + 4(z + -1) Reorder the terms: 11(2 + z) + -4(z + -1) = 2(z + -3) + 4(z + -1) (2 * 11 + z * 11) + -4(z + -1) = 2(z + -3) + 4(z + -1) (22 + 11z) + -4(z + -1) = 2(z + -3) + 4(z + -1) Reorder the terms: 22 + 11z + -4(-1 + z) = 2(z + -3) + 4(z + -1) 22 + 11z + (-1 * -4 + z * -4) = 2(z + -3) + 4(z + -1) 22 + 11z + (4 + -4z) = 2(z + -3) + 4(z + -1) Reorder the terms: 22 + 4 + 11z + -4z = 2(z + -3) + 4(z + -1) Combine like terms: 22 + 4 = 26 26 + 11z + -4z = 2(z + -3) + 4(z + -1) Combine like terms: 11z + -4z = 7z 26 + 7z = 2(z + -3) + 4(z + -1) Reorder the terms: 26 + 7z = 2(-3 + z) + 4(z + -1) 26 + 7z = (-3 * 2 + z * 2) + 4(z + -1) 26 + 7z = (-6 + 2z) + 4(z + -1) Reorder the terms: 26 + 7z = -6 + 2z + 4(-1 + z) 26 + 7z = -6 + 2z + (-1 * 4 + z * 4) 26 + 7z = -6 + 2z + (-4 + 4z) Reorder the terms: 26 + 7z = -6 + -4 + 2z + 4z Combine like terms: -6 + -4 = -10 26 + 7z = -10 + 2z + 4z Combine like terms: 2z + 4z = 6z 26 + 7z = -10 + 6z Solving 26 + 7z = -10 + 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. 26 + 7z + -6z = -10 + 6z + -6z Combine like terms: 7z + -6z = 1z 26 + 1z = -10 + 6z + -6z Combine like terms: 6z + -6z = 0 26 + 1z = -10 + 0 26 + 1z = -10 Add '-26' to each side of the equation. 26 + -26 + 1z = -10 + -26 Combine like terms: 26 + -26 = 0 0 + 1z = -10 + -26 1z = -10 + -26 Combine like terms: -10 + -26 = -36 1z = -36 Divide each side by '1'. z = -36 Simplifying z = -36
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