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Simplifying 3(z + -4) + 8z + -2 = 0 Reorder the terms: 3(-4 + z) + 8z + -2 = 0 (-4 * 3 + z * 3) + 8z + -2 = 0 (-12 + 3z) + 8z + -2 = 0 Reorder the terms: -12 + -2 + 3z + 8z = 0 Combine like terms: -12 + -2 = -14 -14 + 3z + 8z = 0 Combine like terms: 3z + 8z = 11z -14 + 11z = 0 Solving -14 + 11z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 11z = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 11z = 0 + 14 11z = 0 + 14 Combine like terms: 0 + 14 = 14 11z = 14 Divide each side by '11'. z = 1.272727273 Simplifying z = 1.272727273
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