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Simplifying -5(4z + 8) + 4(z + -3) = 0 Reorder the terms: -5(8 + 4z) + 4(z + -3) = 0 (8 * -5 + 4z * -5) + 4(z + -3) = 0 (-40 + -20z) + 4(z + -3) = 0 Reorder the terms: -40 + -20z + 4(-3 + z) = 0 -40 + -20z + (-3 * 4 + z * 4) = 0 -40 + -20z + (-12 + 4z) = 0 Reorder the terms: -40 + -12 + -20z + 4z = 0 Combine like terms: -40 + -12 = -52 -52 + -20z + 4z = 0 Combine like terms: -20z + 4z = -16z -52 + -16z = 0 Solving -52 + -16z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '52' to each side of the equation. -52 + 52 + -16z = 0 + 52 Combine like terms: -52 + 52 = 0 0 + -16z = 0 + 52 -16z = 0 + 52 Combine like terms: 0 + 52 = 52 -16z = 52 Divide each side by '-16'. z = -3.25 Simplifying z = -3.25
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