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Simplifying 5(z + -2) + -4 = 1 Reorder the terms: 5(-2 + z) + -4 = 1 (-2 * 5 + z * 5) + -4 = 1 (-10 + 5z) + -4 = 1 Reorder the terms: -10 + -4 + 5z = 1 Combine like terms: -10 + -4 = -14 -14 + 5z = 1 Solving -14 + 5z = 1 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 5z = 1 + 14 Combine like terms: -14 + 14 = 0 0 + 5z = 1 + 14 5z = 1 + 14 Combine like terms: 1 + 14 = 15 5z = 15 Divide each side by '5'. z = 3 Simplifying z = 3
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