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Simplifying 1 + 2(z + -2) = -4(2z + 2) Reorder the terms: 1 + 2(-2 + z) = -4(2z + 2) 1 + (-2 * 2 + z * 2) = -4(2z + 2) 1 + (-4 + 2z) = -4(2z + 2) Combine like terms: 1 + -4 = -3 -3 + 2z = -4(2z + 2) Reorder the terms: -3 + 2z = -4(2 + 2z) -3 + 2z = (2 * -4 + 2z * -4) -3 + 2z = (-8 + -8z) Solving -3 + 2z = -8 + -8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8z' to each side of the equation. -3 + 2z + 8z = -8 + -8z + 8z Combine like terms: 2z + 8z = 10z -3 + 10z = -8 + -8z + 8z Combine like terms: -8z + 8z = 0 -3 + 10z = -8 + 0 -3 + 10z = -8 Add '3' to each side of the equation. -3 + 3 + 10z = -8 + 3 Combine like terms: -3 + 3 = 0 0 + 10z = -8 + 3 10z = -8 + 3 Combine like terms: -8 + 3 = -5 10z = -5 Divide each side by '10'. z = -0.5 Simplifying z = -0.5
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