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Simplifying 11(z + 2) + -4(z + -3) = 2(z + -2) + 4(z + -3) Reorder the terms: 11(2 + z) + -4(z + -3) = 2(z + -2) + 4(z + -3) (2 * 11 + z * 11) + -4(z + -3) = 2(z + -2) + 4(z + -3) (22 + 11z) + -4(z + -3) = 2(z + -2) + 4(z + -3) Reorder the terms: 22 + 11z + -4(-3 + z) = 2(z + -2) + 4(z + -3) 22 + 11z + (-3 * -4 + z * -4) = 2(z + -2) + 4(z + -3) 22 + 11z + (12 + -4z) = 2(z + -2) + 4(z + -3) Reorder the terms: 22 + 12 + 11z + -4z = 2(z + -2) + 4(z + -3) Combine like terms: 22 + 12 = 34 34 + 11z + -4z = 2(z + -2) + 4(z + -3) Combine like terms: 11z + -4z = 7z 34 + 7z = 2(z + -2) + 4(z + -3) Reorder the terms: 34 + 7z = 2(-2 + z) + 4(z + -3) 34 + 7z = (-2 * 2 + z * 2) + 4(z + -3) 34 + 7z = (-4 + 2z) + 4(z + -3) Reorder the terms: 34 + 7z = -4 + 2z + 4(-3 + z) 34 + 7z = -4 + 2z + (-3 * 4 + z * 4) 34 + 7z = -4 + 2z + (-12 + 4z) Reorder the terms: 34 + 7z = -4 + -12 + 2z + 4z Combine like terms: -4 + -12 = -16 34 + 7z = -16 + 2z + 4z Combine like terms: 2z + 4z = 6z 34 + 7z = -16 + 6z Solving 34 + 7z = -16 + 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. 34 + 7z + -6z = -16 + 6z + -6z Combine like terms: 7z + -6z = 1z 34 + 1z = -16 + 6z + -6z Combine like terms: 6z + -6z = 0 34 + 1z = -16 + 0 34 + 1z = -16 Add '-34' to each side of the equation. 34 + -34 + 1z = -16 + -34 Combine like terms: 34 + -34 = 0 0 + 1z = -16 + -34 1z = -16 + -34 Combine like terms: -16 + -34 = -50 1z = -50 Divide each side by '1'. z = -50 Simplifying z = -50
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