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Simplifying 7(z + -4) + 4z + -1 = 0 Reorder the terms: 7(-4 + z) + 4z + -1 = 0 (-4 * 7 + z * 7) + 4z + -1 = 0 (-28 + 7z) + 4z + -1 = 0 Reorder the terms: -28 + -1 + 7z + 4z = 0 Combine like terms: -28 + -1 = -29 -29 + 7z + 4z = 0 Combine like terms: 7z + 4z = 11z -29 + 11z = 0 Solving -29 + 11z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 11z = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 11z = 0 + 29 11z = 0 + 29 Combine like terms: 0 + 29 = 29 11z = 29 Divide each side by '11'. z = 2.636363636 Simplifying z = 2.636363636
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