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Simplifying 4(z + -5) + 4z + -3 = 0 Reorder the terms: 4(-5 + z) + 4z + -3 = 0 (-5 * 4 + z * 4) + 4z + -3 = 0 (-20 + 4z) + 4z + -3 = 0 Reorder the terms: -20 + -3 + 4z + 4z = 0 Combine like terms: -20 + -3 = -23 -23 + 4z + 4z = 0 Combine like terms: 4z + 4z = 8z -23 + 8z = 0 Solving -23 + 8z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 8z = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 8z = 0 + 23 8z = 0 + 23 Combine like terms: 0 + 23 = 23 8z = 23 Divide each side by '8'. z = 2.875 Simplifying z = 2.875
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