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Simplifying -2(z + 3) + -1z = -1z + -4(z + 4) Reorder the terms: -2(3 + z) + -1z = -1z + -4(z + 4) (3 * -2 + z * -2) + -1z = -1z + -4(z + 4) (-6 + -2z) + -1z = -1z + -4(z + 4) Combine like terms: -2z + -1z = -3z -6 + -3z = -1z + -4(z + 4) Reorder the terms: -6 + -3z = -1z + -4(4 + z) -6 + -3z = -1z + (4 * -4 + z * -4) -6 + -3z = -1z + (-16 + -4z) Reorder the terms: -6 + -3z = -16 + -1z + -4z Combine like terms: -1z + -4z = -5z -6 + -3z = -16 + -5z Solving -6 + -3z = -16 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. -6 + -3z + 5z = -16 + -5z + 5z Combine like terms: -3z + 5z = 2z -6 + 2z = -16 + -5z + 5z Combine like terms: -5z + 5z = 0 -6 + 2z = -16 + 0 -6 + 2z = -16 Add '6' to each side of the equation. -6 + 6 + 2z = -16 + 6 Combine like terms: -6 + 6 = 0 0 + 2z = -16 + 6 2z = -16 + 6 Combine like terms: -16 + 6 = -10 2z = -10 Divide each side by '2'. z = -5 Simplifying z = -5
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