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Simplifying -4(5z + 9) = -2(-8 + 12z) Reorder the terms: -4(9 + 5z) = -2(-8 + 12z) (9 * -4 + 5z * -4) = -2(-8 + 12z) (-36 + -20z) = -2(-8 + 12z) -36 + -20z = (-8 * -2 + 12z * -2) -36 + -20z = (16 + -24z) Solving -36 + -20z = 16 + -24z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '24z' to each side of the equation. -36 + -20z + 24z = 16 + -24z + 24z Combine like terms: -20z + 24z = 4z -36 + 4z = 16 + -24z + 24z Combine like terms: -24z + 24z = 0 -36 + 4z = 16 + 0 -36 + 4z = 16 Add '36' to each side of the equation. -36 + 36 + 4z = 16 + 36 Combine like terms: -36 + 36 = 0 0 + 4z = 16 + 36 4z = 16 + 36 Combine like terms: 16 + 36 = 52 4z = 52 Divide each side by '4'. z = 13 Simplifying z = 13
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