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Simplifying 5(z + -4) + -2 = 42 + -20 Reorder the terms: 5(-4 + z) + -2 = 42 + -20 (-4 * 5 + z * 5) + -2 = 42 + -20 (-20 + 5z) + -2 = 42 + -20 Reorder the terms: -20 + -2 + 5z = 42 + -20 Combine like terms: -20 + -2 = -22 -22 + 5z = 42 + -20 Combine like terms: 42 + -20 = 22 -22 + 5z = 22 Solving -22 + 5z = 22 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 5z = 22 + 22 Combine like terms: -22 + 22 = 0 0 + 5z = 22 + 22 5z = 22 + 22 Combine like terms: 22 + 22 = 44 5z = 44 Divide each side by '5'. z = 8.8 Simplifying z = 8.8
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