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Simplifying 5z + -4(2 + -9) = 4 + 2z Combine like terms: 2 + -9 = -7 5z + -4(-7) = 4 + 2z Multiply -4 * -7 5z + 28 = 4 + 2z Reorder the terms: 28 + 5z = 4 + 2z Solving 28 + 5z = 4 + 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. 28 + 5z + -2z = 4 + 2z + -2z Combine like terms: 5z + -2z = 3z 28 + 3z = 4 + 2z + -2z Combine like terms: 2z + -2z = 0 28 + 3z = 4 + 0 28 + 3z = 4 Add '-28' to each side of the equation. 28 + -28 + 3z = 4 + -28 Combine like terms: 28 + -28 = 0 0 + 3z = 4 + -28 3z = 4 + -28 Combine like terms: 4 + -28 = -24 3z = -24 Divide each side by '3'. z = -8 Simplifying z = -8
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