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Simplifying 2(z + -5) = z + 1 Reorder the terms: 2(-5 + z) = z + 1 (-5 * 2 + z * 2) = z + 1 (-10 + 2z) = z + 1 Reorder the terms: -10 + 2z = 1 + z Solving -10 + 2z = 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. -10 + 2z + -1z = 1 + z + -1z Combine like terms: 2z + -1z = 1z -10 + 1z = 1 + z + -1z Combine like terms: z + -1z = 0 -10 + 1z = 1 + 0 -10 + 1z = 1 Add '10' to each side of the equation. -10 + 10 + 1z = 1 + 10 Combine like terms: -10 + 10 = 0 0 + 1z = 1 + 10 1z = 1 + 10 Combine like terms: 1 + 10 = 11 1z = 11 Divide each side by '1'. z = 11 Simplifying z = 11
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