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Simplifying 10(-4z + -5) = 4 + -5z Reorder the terms: 10(-5 + -4z) = 4 + -5z (-5 * 10 + -4z * 10) = 4 + -5z (-50 + -40z) = 4 + -5z Solving -50 + -40z = 4 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. -50 + -40z + 5z = 4 + -5z + 5z Combine like terms: -40z + 5z = -35z -50 + -35z = 4 + -5z + 5z Combine like terms: -5z + 5z = 0 -50 + -35z = 4 + 0 -50 + -35z = 4 Add '50' to each side of the equation. -50 + 50 + -35z = 4 + 50 Combine like terms: -50 + 50 = 0 0 + -35z = 4 + 50 -35z = 4 + 50 Combine like terms: 4 + 50 = 54 -35z = 54 Divide each side by '-35'. z = -1.542857143 Simplifying z = -1.542857143
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