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Simplifying -2(z + 3) = z + -4(z + 2) Reorder the terms: -2(3 + z) = z + -4(z + 2) (3 * -2 + z * -2) = z + -4(z + 2) (-6 + -2z) = z + -4(z + 2) Reorder the terms: -6 + -2z = z + -4(2 + z) -6 + -2z = z + (2 * -4 + z * -4) -6 + -2z = z + (-8 + -4z) Reorder the terms: -6 + -2z = -8 + z + -4z Combine like terms: z + -4z = -3z -6 + -2z = -8 + -3z Solving -6 + -2z = -8 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. -6 + -2z + 3z = -8 + -3z + 3z Combine like terms: -2z + 3z = 1z -6 + 1z = -8 + -3z + 3z Combine like terms: -3z + 3z = 0 -6 + 1z = -8 + 0 -6 + 1z = -8 Add '6' to each side of the equation. -6 + 6 + 1z = -8 + 6 Combine like terms: -6 + 6 = 0 0 + 1z = -8 + 6 1z = -8 + 6 Combine like terms: -8 + 6 = -2 1z = -2 Divide each side by '1'. z = -2 Simplifying z = -2
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