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Simplifying 6(z + -2) + 7z + -3 = 0 Reorder the terms: 6(-2 + z) + 7z + -3 = 0 (-2 * 6 + z * 6) + 7z + -3 = 0 (-12 + 6z) + 7z + -3 = 0 Reorder the terms: -12 + -3 + 6z + 7z = 0 Combine like terms: -12 + -3 = -15 -15 + 6z + 7z = 0 Combine like terms: 6z + 7z = 13z -15 + 13z = 0 Solving -15 + 13z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 13z = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 13z = 0 + 15 13z = 0 + 15 Combine like terms: 0 + 15 = 15 13z = 15 Divide each side by '13'. z = 1.153846154 Simplifying z = 1.153846154
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