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Simplifying 7(z + -2) + 5z + -3 = 0 Reorder the terms: 7(-2 + z) + 5z + -3 = 0 (-2 * 7 + z * 7) + 5z + -3 = 0 (-14 + 7z) + 5z + -3 = 0 Reorder the terms: -14 + -3 + 7z + 5z = 0 Combine like terms: -14 + -3 = -17 -17 + 7z + 5z = 0 Combine like terms: 7z + 5z = 12z -17 + 12z = 0 Solving -17 + 12z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 12z = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 12z = 0 + 17 12z = 0 + 17 Combine like terms: 0 + 17 = 17 12z = 17 Divide each side by '12'. z = 1.416666667 Simplifying z = 1.416666667
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