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Simplifying 5(z + -3) + 22 = 41 Reorder the terms: 5(-3 + z) + 22 = 41 (-3 * 5 + z * 5) + 22 = 41 (-15 + 5z) + 22 = 41 Reorder the terms: -15 + 22 + 5z = 41 Combine like terms: -15 + 22 = 7 7 + 5z = 41 Solving 7 + 5z = 41 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 5z = 41 + -7 Combine like terms: 7 + -7 = 0 0 + 5z = 41 + -7 5z = 41 + -7 Combine like terms: 41 + -7 = 34 5z = 34 Divide each side by '5'. z = 6.8 Simplifying z = 6.8
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