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Simplifying 2(z + -4) = (z + 1) Reorder the terms: 2(-4 + z) = (z + 1) (-4 * 2 + z * 2) = (z + 1) (-8 + 2z) = (z + 1) Reorder the terms: -8 + 2z = (1 + z) Remove parenthesis around (1 + z) -8 + 2z = 1 + z Solving -8 + 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. -8 + 2z + -1z = 1 + z + -1z Combine like terms: 2z + -1z = 1z -8 + 1z = 1 + z + -1z Combine like terms: z + -1z = 0 -8 + 1z = 1 + 0 -8 + 1z = 1 Add '8' to each side of the equation. -8 + 8 + 1z = 1 + 8 Combine like terms: -8 + 8 = 0 0 + 1z = 1 + 8 1z = 1 + 8 Combine like terms: 1 + 8 = 9 1z = 9 Divide each side by '1'. z = 9 Simplifying z = 9
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