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Simplifying -2[z + 3] + -1z = -1 + -4[z + 2] Reorder the terms: -2[3 + z] + -1z = -1 + -4[z + 2] [3 * -2 + z * -2] + -1z = -1 + -4[z + 2] [-6 + -2z] + -1z = -1 + -4[z + 2] Combine like terms: -2z + -1z = -3z -6 + -3z = -1 + -4[z + 2] Reorder the terms: -6 + -3z = -1 + -4[2 + z] -6 + -3z = -1 + [2 * -4 + z * -4] -6 + -3z = -1 + [-8 + -4z] Combine like terms: -1 + -8 = -9 -6 + -3z = -9 + -4z Solving -6 + -3z = -9 + -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. -6 + -3z + 4z = -9 + -4z + 4z Combine like terms: -3z + 4z = 1z -6 + 1z = -9 + -4z + 4z Combine like terms: -4z + 4z = 0 -6 + 1z = -9 + 0 -6 + 1z = -9 Add '6' to each side of the equation. -6 + 6 + 1z = -9 + 6 Combine like terms: -6 + 6 = 0 0 + 1z = -9 + 6 1z = -9 + 6 Combine like terms: -9 + 6 = -3 1z = -3 Divide each side by '1'. z = -3 Simplifying z = -3
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