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Simplifying -8(4 + -5z) + 4(7z + -10) = 0 (4 * -8 + -5z * -8) + 4(7z + -10) = 0 (-32 + 40z) + 4(7z + -10) = 0 Reorder the terms: -32 + 40z + 4(-10 + 7z) = 0 -32 + 40z + (-10 * 4 + 7z * 4) = 0 -32 + 40z + (-40 + 28z) = 0 Reorder the terms: -32 + -40 + 40z + 28z = 0 Combine like terms: -32 + -40 = -72 -72 + 40z + 28z = 0 Combine like terms: 40z + 28z = 68z -72 + 68z = 0 Solving -72 + 68z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '72' to each side of the equation. -72 + 72 + 68z = 0 + 72 Combine like terms: -72 + 72 = 0 0 + 68z = 0 + 72 68z = 0 + 72 Combine like terms: 0 + 72 = 72 68z = 72 Divide each side by '68'. z = 1.058823529 Simplifying z = 1.058823529
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