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Simplifying 4(z + -3) + 7z + -1 = 0 Reorder the terms: 4(-3 + z) + 7z + -1 = 0 (-3 * 4 + z * 4) + 7z + -1 = 0 (-12 + 4z) + 7z + -1 = 0 Reorder the terms: -12 + -1 + 4z + 7z = 0 Combine like terms: -12 + -1 = -13 -13 + 4z + 7z = 0 Combine like terms: 4z + 7z = 11z -13 + 11z = 0 Solving -13 + 11z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 11z = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 11z = 0 + 13 11z = 0 + 13 Combine like terms: 0 + 13 = 13 11z = 13 Divide each side by '11'. z = 1.181818182 Simplifying z = 1.181818182
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