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Simplifying 11(z + 3) + -4(z + -1) = 2(z + -2) + 4(z + -1) Reorder the terms: 11(3 + z) + -4(z + -1) = 2(z + -2) + 4(z + -1) (3 * 11 + z * 11) + -4(z + -1) = 2(z + -2) + 4(z + -1) (33 + 11z) + -4(z + -1) = 2(z + -2) + 4(z + -1) Reorder the terms: 33 + 11z + -4(-1 + z) = 2(z + -2) + 4(z + -1) 33 + 11z + (-1 * -4 + z * -4) = 2(z + -2) + 4(z + -1) 33 + 11z + (4 + -4z) = 2(z + -2) + 4(z + -1) Reorder the terms: 33 + 4 + 11z + -4z = 2(z + -2) + 4(z + -1) Combine like terms: 33 + 4 = 37 37 + 11z + -4z = 2(z + -2) + 4(z + -1) Combine like terms: 11z + -4z = 7z 37 + 7z = 2(z + -2) + 4(z + -1) Reorder the terms: 37 + 7z = 2(-2 + z) + 4(z + -1) 37 + 7z = (-2 * 2 + z * 2) + 4(z + -1) 37 + 7z = (-4 + 2z) + 4(z + -1) Reorder the terms: 37 + 7z = -4 + 2z + 4(-1 + z) 37 + 7z = -4 + 2z + (-1 * 4 + z * 4) 37 + 7z = -4 + 2z + (-4 + 4z) Reorder the terms: 37 + 7z = -4 + -4 + 2z + 4z Combine like terms: -4 + -4 = -8 37 + 7z = -8 + 2z + 4z Combine like terms: 2z + 4z = 6z 37 + 7z = -8 + 6z Solving 37 + 7z = -8 + 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. 37 + 7z + -6z = -8 + 6z + -6z Combine like terms: 7z + -6z = 1z 37 + 1z = -8 + 6z + -6z Combine like terms: 6z + -6z = 0 37 + 1z = -8 + 0 37 + 1z = -8 Add '-37' to each side of the equation. 37 + -37 + 1z = -8 + -37 Combine like terms: 37 + -37 = 0 0 + 1z = -8 + -37 1z = -8 + -37 Combine like terms: -8 + -37 = -45 1z = -45 Divide each side by '1'. z = -45 Simplifying z = -45
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