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