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Simplifying 4(z + -5) + 7z + -1 = 0 Reorder the terms: 4(-5 + z) + 7z + -1 = 0 (-5 * 4 + z * 4) + 7z + -1 = 0 (-20 + 4z) + 7z + -1 = 0 Reorder the terms: -20 + -1 + 4z + 7z = 0 Combine like terms: -20 + -1 = -21 -21 + 4z + 7z = 0 Combine like terms: 4z + 7z = 11z -21 + 11z = 0 Solving -21 + 11z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 11z = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 11z = 0 + 21 11z = 0 + 21 Combine like terms: 0 + 21 = 21 11z = 21 Divide each side by '11'. z = 1.909090909 Simplifying z = 1.909090909
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