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Simplifying (3 + -5 * 5) + -4z + 2 = z(3 + -5) + -8 Multiply -5 * 5 (3 + -25) + -4z + 2 = z(3 + -5) + -8 Combine like terms: 3 + -25 = -22 (-22) + -4z + 2 = z(3 + -5) + -8 -22 + -4z + 2 = z(3 + -5) + -8 Reorder the terms: -22 + 2 + -4z = z(3 + -5) + -8 Combine like terms: -22 + 2 = -20 -20 + -4z = z(3 + -5) + -8 Combine like terms: 3 + -5 = -2 -20 + -4z = z(-2) + -8 Reorder the terms for easier multiplication: -20 + -4z = -2z + -8 Reorder the terms: -20 + -4z = -8 + -2z Solving -20 + -4z = -8 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. -20 + -4z + 2z = -8 + -2z + 2z Combine like terms: -4z + 2z = -2z -20 + -2z = -8 + -2z + 2z Combine like terms: -2z + 2z = 0 -20 + -2z = -8 + 0 -20 + -2z = -8 Add '20' to each side of the equation. -20 + 20 + -2z = -8 + 20 Combine like terms: -20 + 20 = 0 0 + -2z = -8 + 20 -2z = -8 + 20 Combine like terms: -8 + 20 = 12 -2z = 12 Divide each side by '-2'. z = -6 Simplifying z = -6
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