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Simplifying 4(-5z + -2) + 7z + -3 = 0 Reorder the terms: 4(-2 + -5z) + 7z + -3 = 0 (-2 * 4 + -5z * 4) + 7z + -3 = 0 (-8 + -20z) + 7z + -3 = 0 Reorder the terms: -8 + -3 + -20z + 7z = 0 Combine like terms: -8 + -3 = -11 -11 + -20z + 7z = 0 Combine like terms: -20z + 7z = -13z -11 + -13z = 0 Solving -11 + -13z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -13z = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -13z = 0 + 11 -13z = 0 + 11 Combine like terms: 0 + 11 = 11 -13z = 11 Divide each side by '-13'. z = -0.8461538462 Simplifying z = -0.8461538462
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