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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 = 2z -8 + 2z = -10 + 2z + -2z Combine like terms: 2z + -2z = 0 -8 + 2z = -10 + 0 -8 + 2z = -10 Add '8' to each side of the equation. -8 + 8 + 2z = -10 + 8 Combine like terms: -8 + 8 = 0 0 + 2z = -10 + 8 2z = -10 + 8 Combine like terms: -10 + 8 = -2 2z = -2 Divide each side by '2'. z = -1 Simplifying z = -1
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