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Simplifying 11(z + 4) + -4(z + -2) = 3(z + -3) + 3(z + -1) Reorder the terms: 11(4 + z) + -4(z + -2) = 3(z + -3) + 3(z + -1) (4 * 11 + z * 11) + -4(z + -2) = 3(z + -3) + 3(z + -1) (44 + 11z) + -4(z + -2) = 3(z + -3) + 3(z + -1) Reorder the terms: 44 + 11z + -4(-2 + z) = 3(z + -3) + 3(z + -1) 44 + 11z + (-2 * -4 + z * -4) = 3(z + -3) + 3(z + -1) 44 + 11z + (8 + -4z) = 3(z + -3) + 3(z + -1) Reorder the terms: 44 + 8 + 11z + -4z = 3(z + -3) + 3(z + -1) Combine like terms: 44 + 8 = 52 52 + 11z + -4z = 3(z + -3) + 3(z + -1) Combine like terms: 11z + -4z = 7z 52 + 7z = 3(z + -3) + 3(z + -1) Reorder the terms: 52 + 7z = 3(-3 + z) + 3(z + -1) 52 + 7z = (-3 * 3 + z * 3) + 3(z + -1) 52 + 7z = (-9 + 3z) + 3(z + -1) Reorder the terms: 52 + 7z = -9 + 3z + 3(-1 + z) 52 + 7z = -9 + 3z + (-1 * 3 + z * 3) 52 + 7z = -9 + 3z + (-3 + 3z) Reorder the terms: 52 + 7z = -9 + -3 + 3z + 3z Combine like terms: -9 + -3 = -12 52 + 7z = -12 + 3z + 3z Combine like terms: 3z + 3z = 6z 52 + 7z = -12 + 6z Solving 52 + 7z = -12 + 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. 52 + 7z + -6z = -12 + 6z + -6z Combine like terms: 7z + -6z = 1z 52 + 1z = -12 + 6z + -6z Combine like terms: 6z + -6z = 0 52 + 1z = -12 + 0 52 + 1z = -12 Add '-52' to each side of the equation. 52 + -52 + 1z = -12 + -52 Combine like terms: 52 + -52 = 0 0 + 1z = -12 + -52 1z = -12 + -52 Combine like terms: -12 + -52 = -64 1z = -64 Divide each side by '1'. z = -64 Simplifying z = -64
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