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Simplifying 5(2 + -4) + -2 = 4z + -20 Combine like terms: 2 + -4 = -2 5(-2) + -2 = 4z + -20 Multiply 5 * -2 -10 + -2 = 4z + -20 Combine like terms: -10 + -2 = -12 -12 = 4z + -20 Reorder the terms: -12 = -20 + 4z Solving -12 = -20 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -12 + -4z = -20 + 4z + -4z Combine like terms: 4z + -4z = 0 -12 + -4z = -20 + 0 -12 + -4z = -20 Add '12' to each side of the equation. -12 + 12 + -4z = -20 + 12 Combine like terms: -12 + 12 = 0 0 + -4z = -20 + 12 -4z = -20 + 12 Combine like terms: -20 + 12 = -8 -4z = -8 Divide each side by '-4'. z = 2 Simplifying z = 2
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