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