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Simplifying 11(z + 2) + -2(z + -3) = 4(z + -3) + 4(z + -4) Reorder the terms: 11(2 + z) + -2(z + -3) = 4(z + -3) + 4(z + -4) (2 * 11 + z * 11) + -2(z + -3) = 4(z + -3) + 4(z + -4) (22 + 11z) + -2(z + -3) = 4(z + -3) + 4(z + -4) Reorder the terms: 22 + 11z + -2(-3 + z) = 4(z + -3) + 4(z + -4) 22 + 11z + (-3 * -2 + z * -2) = 4(z + -3) + 4(z + -4) 22 + 11z + (6 + -2z) = 4(z + -3) + 4(z + -4) Reorder the terms: 22 + 6 + 11z + -2z = 4(z + -3) + 4(z + -4) Combine like terms: 22 + 6 = 28 28 + 11z + -2z = 4(z + -3) + 4(z + -4) Combine like terms: 11z + -2z = 9z 28 + 9z = 4(z + -3) + 4(z + -4) Reorder the terms: 28 + 9z = 4(-3 + z) + 4(z + -4) 28 + 9z = (-3 * 4 + z * 4) + 4(z + -4) 28 + 9z = (-12 + 4z) + 4(z + -4) Reorder the terms: 28 + 9z = -12 + 4z + 4(-4 + z) 28 + 9z = -12 + 4z + (-4 * 4 + z * 4) 28 + 9z = -12 + 4z + (-16 + 4z) Reorder the terms: 28 + 9z = -12 + -16 + 4z + 4z Combine like terms: -12 + -16 = -28 28 + 9z = -28 + 4z + 4z Combine like terms: 4z + 4z = 8z 28 + 9z = -28 + 8z Solving 28 + 9z = -28 + 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. 28 + 9z + -8z = -28 + 8z + -8z Combine like terms: 9z + -8z = 1z 28 + 1z = -28 + 8z + -8z Combine like terms: 8z + -8z = 0 28 + 1z = -28 + 0 28 + 1z = -28 Add '-28' to each side of the equation. 28 + -28 + 1z = -28 + -28 Combine like terms: 28 + -28 = 0 0 + 1z = -28 + -28 1z = -28 + -28 Combine like terms: -28 + -28 = -56 1z = -56 Divide each side by '1'. z = -56 Simplifying z = -56
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