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Simplifying 7(z + -2) + 5z + -4 = 0 Reorder the terms: 7(-2 + z) + 5z + -4 = 0 (-2 * 7 + z * 7) + 5z + -4 = 0 (-14 + 7z) + 5z + -4 = 0 Reorder the terms: -14 + -4 + 7z + 5z = 0 Combine like terms: -14 + -4 = -18 -18 + 7z + 5z = 0 Combine like terms: 7z + 5z = 12z -18 + 12z = 0 Solving -18 + 12z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 12z = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 12z = 0 + 18 12z = 0 + 18 Combine like terms: 0 + 18 = 18 12z = 18 Divide each side by '12'. z = 1.5 Simplifying z = 1.5
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