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Simplifying 4(z + -2) = -2(z + -5) Reorder the terms: 4(-2 + z) = -2(z + -5) (-2 * 4 + z * 4) = -2(z + -5) (-8 + 4z) = -2(z + -5) Reorder the terms: -8 + 4z = -2(-5 + z) -8 + 4z = (-5 * -2 + z * -2) -8 + 4z = (10 + -2z) Solving -8 + 4z = 10 + -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. -8 + 4z + 2z = 10 + -2z + 2z Combine like terms: 4z + 2z = 6z -8 + 6z = 10 + -2z + 2z Combine like terms: -2z + 2z = 0 -8 + 6z = 10 + 0 -8 + 6z = 10 Add '8' to each side of the equation. -8 + 8 + 6z = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 6z = 10 + 8 6z = 10 + 8 Combine like terms: 10 + 8 = 18 6z = 18 Divide each side by '6'. z = 3 Simplifying z = 3
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