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Simplifying 4(2z + -5) = z + 1 Reorder the terms: 4(-5 + 2z) = z + 1 (-5 * 4 + 2z * 4) = z + 1 (-20 + 8z) = z + 1 Reorder the terms: -20 + 8z = 1 + z Solving -20 + 8z = 1 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -20 + 8z + -1z = 1 + z + -1z Combine like terms: 8z + -1z = 7z -20 + 7z = 1 + z + -1z Combine like terms: z + -1z = 0 -20 + 7z = 1 + 0 -20 + 7z = 1 Add '20' to each side of the equation. -20 + 20 + 7z = 1 + 20 Combine like terms: -20 + 20 = 0 0 + 7z = 1 + 20 7z = 1 + 20 Combine like terms: 1 + 20 = 21 7z = 21 Divide each side by '7'. z = 3 Simplifying z = 3
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