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Simplifying -8(2z + -3) + -4(z + 1) = 50 Reorder the terms: -8(-3 + 2z) + -4(z + 1) = 50 (-3 * -8 + 2z * -8) + -4(z + 1) = 50 (24 + -16z) + -4(z + 1) = 50 Reorder the terms: 24 + -16z + -4(1 + z) = 50 24 + -16z + (1 * -4 + z * -4) = 50 24 + -16z + (-4 + -4z) = 50 Reorder the terms: 24 + -4 + -16z + -4z = 50 Combine like terms: 24 + -4 = 20 20 + -16z + -4z = 50 Combine like terms: -16z + -4z = -20z 20 + -20z = 50 Solving 20 + -20z = 50 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -20z = 50 + -20 Combine like terms: 20 + -20 = 0 0 + -20z = 50 + -20 -20z = 50 + -20 Combine like terms: 50 + -20 = 30 -20z = 30 Divide each side by '-20'. z = -1.5 Simplifying z = -1.5
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