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Simplifying 3(-4z + -1) = -1(2 + 11z) Reorder the terms: 3(-1 + -4z) = -1(2 + 11z) (-1 * 3 + -4z * 3) = -1(2 + 11z) (-3 + -12z) = -1(2 + 11z) -3 + -12z = (2 * -1 + 11z * -1) -3 + -12z = (-2 + -11z) Solving -3 + -12z = -2 + -11z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '11z' to each side of the equation. -3 + -12z + 11z = -2 + -11z + 11z Combine like terms: -12z + 11z = -1z -3 + -1z = -2 + -11z + 11z Combine like terms: -11z + 11z = 0 -3 + -1z = -2 + 0 -3 + -1z = -2 Add '3' to each side of the equation. -3 + 3 + -1z = -2 + 3 Combine like terms: -3 + 3 = 0 0 + -1z = -2 + 3 -1z = -2 + 3 Combine like terms: -2 + 3 = 1 -1z = 1 Divide each side by '-1'. z = -1 Simplifying z = -1
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