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Simplifying 4(z + 5) = (z + -4) + z Reorder the terms: 4(5 + z) = (z + -4) + z (5 * 4 + z * 4) = (z + -4) + z (20 + 4z) = (z + -4) + z Reorder the terms: 20 + 4z = (-4 + z) + z Remove parenthesis around (-4 + z) 20 + 4z = -4 + z + z Combine like terms: z + z = 2z 20 + 4z = -4 + 2z Solving 20 + 4z = -4 + 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. 20 + 4z + -2z = -4 + 2z + -2z Combine like terms: 4z + -2z = 2z 20 + 2z = -4 + 2z + -2z Combine like terms: 2z + -2z = 0 20 + 2z = -4 + 0 20 + 2z = -4 Add '-20' to each side of the equation. 20 + -20 + 2z = -4 + -20 Combine like terms: 20 + -20 = 0 0 + 2z = -4 + -20 2z = -4 + -20 Combine like terms: -4 + -20 = -24 2z = -24 Divide each side by '2'. z = -12 Simplifying z = -12
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