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Simplifying -1z + 3(z + -4) = 4(z + -1) Reorder the terms: -1z + 3(-4 + z) = 4(z + -1) -1z + (-4 * 3 + z * 3) = 4(z + -1) -1z + (-12 + 3z) = 4(z + -1) Reorder the terms: -12 + -1z + 3z = 4(z + -1) Combine like terms: -1z + 3z = 2z -12 + 2z = 4(z + -1) Reorder the terms: -12 + 2z = 4(-1 + z) -12 + 2z = (-1 * 4 + z * 4) -12 + 2z = (-4 + 4z) Solving -12 + 2z = -4 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -12 + 2z + -4z = -4 + 4z + -4z Combine like terms: 2z + -4z = -2z -12 + -2z = -4 + 4z + -4z Combine like terms: 4z + -4z = 0 -12 + -2z = -4 + 0 -12 + -2z = -4 Add '12' to each side of the equation. -12 + 12 + -2z = -4 + 12 Combine like terms: -12 + 12 = 0 0 + -2z = -4 + 12 -2z = -4 + 12 Combine like terms: -4 + 12 = 8 -2z = 8 Divide each side by '-2'. z = -4 Simplifying z = -4
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