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Simplifying 5z + -4(z + -7) = 4 + 2z Reorder the terms: 5z + -4(-7 + z) = 4 + 2z 5z + (-7 * -4 + z * -4) = 4 + 2z 5z + (28 + -4z) = 4 + 2z Reorder the terms: 28 + 5z + -4z = 4 + 2z Combine like terms: 5z + -4z = 1z 28 + 1z = 4 + 2z Solving 28 + 1z = 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 + 1z + -2z = 4 + 2z + -2z Combine like terms: 1z + -2z = -1z 28 + -1z = 4 + 2z + -2z Combine like terms: 2z + -2z = 0 28 + -1z = 4 + 0 28 + -1z = 4 Add '-28' to each side of the equation. 28 + -28 + -1z = 4 + -28 Combine like terms: 28 + -28 = 0 0 + -1z = 4 + -28 -1z = 4 + -28 Combine like terms: 4 + -28 = -24 -1z = -24 Divide each side by '-1'. z = 24 Simplifying z = 24
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