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Simplifying 5(z + 8) = (z + -2) Reorder the terms: 5(8 + z) = (z + -2) (8 * 5 + z * 5) = (z + -2) (40 + 5z) = (z + -2) Reorder the terms: 40 + 5z = (-2 + z) Remove parenthesis around (-2 + z) 40 + 5z = -2 + z Solving 40 + 5z = -2 + 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. 40 + 5z + -1z = -2 + z + -1z Combine like terms: 5z + -1z = 4z 40 + 4z = -2 + z + -1z Combine like terms: z + -1z = 0 40 + 4z = -2 + 0 40 + 4z = -2 Add '-40' to each side of the equation. 40 + -40 + 4z = -2 + -40 Combine like terms: 40 + -40 = 0 0 + 4z = -2 + -40 4z = -2 + -40 Combine like terms: -2 + -40 = -42 4z = -42 Divide each side by '4'. z = -10.5 Simplifying z = -10.5
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