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Simplifying 4(z + -2) + 7z + -4 = 0 Reorder the terms: 4(-2 + z) + 7z + -4 = 0 (-2 * 4 + z * 4) + 7z + -4 = 0 (-8 + 4z) + 7z + -4 = 0 Reorder the terms: -8 + -4 + 4z + 7z = 0 Combine like terms: -8 + -4 = -12 -12 + 4z + 7z = 0 Combine like terms: 4z + 7z = 11z -12 + 11z = 0 Solving -12 + 11z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 11z = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 11z = 0 + 12 11z = 0 + 12 Combine like terms: 0 + 12 = 12 11z = 12 Divide each side by '11'. z = 1.090909091 Simplifying z = 1.090909091
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