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Simplifying 1 + -5(2z + 4) = 40 Reorder the terms: 1 + -5(4 + 2z) = 40 1 + (4 * -5 + 2z * -5) = 40 1 + (-20 + -10z) = 40 Combine like terms: 1 + -20 = -19 -19 + -10z = 40 Solving -19 + -10z = 40 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -10z = 40 + 19 Combine like terms: -19 + 19 = 0 0 + -10z = 40 + 19 -10z = 40 + 19 Combine like terms: 40 + 19 = 59 -10z = 59 Divide each side by '-10'. z = -5.9 Simplifying z = -5.9
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