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Simplifying 11(z + 2) + -3(z + -2) = 3(z + -1) + 4(z + -2) Reorder the terms: 11(2 + z) + -3(z + -2) = 3(z + -1) + 4(z + -2) (2 * 11 + z * 11) + -3(z + -2) = 3(z + -1) + 4(z + -2) (22 + 11z) + -3(z + -2) = 3(z + -1) + 4(z + -2) Reorder the terms: 22 + 11z + -3(-2 + z) = 3(z + -1) + 4(z + -2) 22 + 11z + (-2 * -3 + z * -3) = 3(z + -1) + 4(z + -2) 22 + 11z + (6 + -3z) = 3(z + -1) + 4(z + -2) Reorder the terms: 22 + 6 + 11z + -3z = 3(z + -1) + 4(z + -2) Combine like terms: 22 + 6 = 28 28 + 11z + -3z = 3(z + -1) + 4(z + -2) Combine like terms: 11z + -3z = 8z 28 + 8z = 3(z + -1) + 4(z + -2) Reorder the terms: 28 + 8z = 3(-1 + z) + 4(z + -2) 28 + 8z = (-1 * 3 + z * 3) + 4(z + -2) 28 + 8z = (-3 + 3z) + 4(z + -2) Reorder the terms: 28 + 8z = -3 + 3z + 4(-2 + z) 28 + 8z = -3 + 3z + (-2 * 4 + z * 4) 28 + 8z = -3 + 3z + (-8 + 4z) Reorder the terms: 28 + 8z = -3 + -8 + 3z + 4z Combine like terms: -3 + -8 = -11 28 + 8z = -11 + 3z + 4z Combine like terms: 3z + 4z = 7z 28 + 8z = -11 + 7z Solving 28 + 8z = -11 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. 28 + 8z + -7z = -11 + 7z + -7z Combine like terms: 8z + -7z = 1z 28 + 1z = -11 + 7z + -7z Combine like terms: 7z + -7z = 0 28 + 1z = -11 + 0 28 + 1z = -11 Add '-28' to each side of the equation. 28 + -28 + 1z = -11 + -28 Combine like terms: 28 + -28 = 0 0 + 1z = -11 + -28 1z = -11 + -28 Combine like terms: -11 + -28 = -39 1z = -39 Divide each side by '1'. z = -39 Simplifying z = -39
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