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Simplifying 2(z + -1) = 4(5z + 4) Reorder the terms: 2(-1 + z) = 4(5z + 4) (-1 * 2 + z * 2) = 4(5z + 4) (-2 + 2z) = 4(5z + 4) Reorder the terms: -2 + 2z = 4(4 + 5z) -2 + 2z = (4 * 4 + 5z * 4) -2 + 2z = (16 + 20z) Solving -2 + 2z = 16 + 20z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-20z' to each side of the equation. -2 + 2z + -20z = 16 + 20z + -20z Combine like terms: 2z + -20z = -18z -2 + -18z = 16 + 20z + -20z Combine like terms: 20z + -20z = 0 -2 + -18z = 16 + 0 -2 + -18z = 16 Add '2' to each side of the equation. -2 + 2 + -18z = 16 + 2 Combine like terms: -2 + 2 = 0 0 + -18z = 16 + 2 -18z = 16 + 2 Combine like terms: 16 + 2 = 18 -18z = 18 Divide each side by '-18'. z = -1 Simplifying z = -1
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