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Simplifying 6(z + -4) + 7z + -3 = 0 Reorder the terms: 6(-4 + z) + 7z + -3 = 0 (-4 * 6 + z * 6) + 7z + -3 = 0 (-24 + 6z) + 7z + -3 = 0 Reorder the terms: -24 + -3 + 6z + 7z = 0 Combine like terms: -24 + -3 = -27 -27 + 6z + 7z = 0 Combine like terms: 6z + 7z = 13z -27 + 13z = 0 Solving -27 + 13z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 13z = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 13z = 0 + 27 13z = 0 + 27 Combine like terms: 0 + 27 = 27 13z = 27 Divide each side by '13'. z = 2.076923077 Simplifying z = 2.076923077
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