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Simplifying -5(5z + 5) + 4(z + -6) = 0 Reorder the terms: -5(5 + 5z) + 4(z + -6) = 0 (5 * -5 + 5z * -5) + 4(z + -6) = 0 (-25 + -25z) + 4(z + -6) = 0 Reorder the terms: -25 + -25z + 4(-6 + z) = 0 -25 + -25z + (-6 * 4 + z * 4) = 0 -25 + -25z + (-24 + 4z) = 0 Reorder the terms: -25 + -24 + -25z + 4z = 0 Combine like terms: -25 + -24 = -49 -49 + -25z + 4z = 0 Combine like terms: -25z + 4z = -21z -49 + -21z = 0 Solving -49 + -21z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + -21z = 0 + 49 Combine like terms: -49 + 49 = 0 0 + -21z = 0 + 49 -21z = 0 + 49 Combine like terms: 0 + 49 = 49 -21z = 49 Divide each side by '-21'. z = -2.333333333 Simplifying z = -2.333333333
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