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Simplifying -1(4z + -2)(7z + 4) = z(18 + -28z) Reorder the terms: -1(-2 + 4z)(7z + 4) = z(18 + -28z) Reorder the terms: -1(-2 + 4z)(4 + 7z) = z(18 + -28z) Multiply (-2 + 4z) * (4 + 7z) -1(-2(4 + 7z) + 4z * (4 + 7z)) = z(18 + -28z) -1((4 * -2 + 7z * -2) + 4z * (4 + 7z)) = z(18 + -28z) -1((-8 + -14z) + 4z * (4 + 7z)) = z(18 + -28z) -1(-8 + -14z + (4 * 4z + 7z * 4z)) = z(18 + -28z) -1(-8 + -14z + (16z + 28z2)) = z(18 + -28z) Combine like terms: -14z + 16z = 2z -1(-8 + 2z + 28z2) = z(18 + -28z) (-8 * -1 + 2z * -1 + 28z2 * -1) = z(18 + -28z) (8 + -2z + -28z2) = z(18 + -28z) 8 + -2z + -28z2 = (18 * z + -28z * z) 8 + -2z + -28z2 = (18z + -28z2) Add '28z2' to each side of the equation. 8 + -2z + -28z2 + 28z2 = 18z + -28z2 + 28z2 Combine like terms: -28z2 + 28z2 = 0 8 + -2z + 0 = 18z + -28z2 + 28z2 8 + -2z = 18z + -28z2 + 28z2 Combine like terms: -28z2 + 28z2 = 0 8 + -2z = 18z + 0 8 + -2z = 18z Solving 8 + -2z = 18z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-18z' to each side of the equation. 8 + -2z + -18z = 18z + -18z Combine like terms: -2z + -18z = -20z 8 + -20z = 18z + -18z Combine like terms: 18z + -18z = 0 8 + -20z = 0 Add '-8' to each side of the equation. 8 + -8 + -20z = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -20z = 0 + -8 -20z = 0 + -8 Combine like terms: 0 + -8 = -8 -20z = -8 Divide each side by '-20'. z = 0.4 Simplifying z = 0.4
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