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Simplifying -8(z + 5) + 25 + 3z = 0 Reorder the terms: -8(5 + z) + 25 + 3z = 0 (5 * -8 + z * -8) + 25 + 3z = 0 (-40 + -8z) + 25 + 3z = 0 Reorder the terms: -40 + 25 + -8z + 3z = 0 Combine like terms: -40 + 25 = -15 -15 + -8z + 3z = 0 Combine like terms: -8z + 3z = -5z -15 + -5z = 0 Solving -15 + -5z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -5z = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -5z = 0 + 15 -5z = 0 + 15 Combine like terms: 0 + 15 = 15 -5z = 15 Divide each side by '-5'. z = -3 Simplifying z = -3
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