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Simplifying 3(z + -5) + 4z + -2 = 0 Reorder the terms: 3(-5 + z) + 4z + -2 = 0 (-5 * 3 + z * 3) + 4z + -2 = 0 (-15 + 3z) + 4z + -2 = 0 Reorder the terms: -15 + -2 + 3z + 4z = 0 Combine like terms: -15 + -2 = -17 -17 + 3z + 4z = 0 Combine like terms: 3z + 4z = 7z -17 + 7z = 0 Solving -17 + 7z = 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 + 7z = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 7z = 0 + 17 7z = 0 + 17 Combine like terms: 0 + 17 = 17 7z = 17 Divide each side by '7'. z = 2.428571429 Simplifying z = 2.428571429
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