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Simplifying 2(z + 4) = -28 + 3z Reorder the terms: 2(4 + z) = -28 + 3z (4 * 2 + z * 2) = -28 + 3z (8 + 2z) = -28 + 3z Solving 8 + 2z = -28 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 8 + 2z + -3z = -28 + 3z + -3z Combine like terms: 2z + -3z = -1z 8 + -1z = -28 + 3z + -3z Combine like terms: 3z + -3z = 0 8 + -1z = -28 + 0 8 + -1z = -28 Add '-8' to each side of the equation. 8 + -8 + -1z = -28 + -8 Combine like terms: 8 + -8 = 0 0 + -1z = -28 + -8 -1z = -28 + -8 Combine like terms: -28 + -8 = -36 -1z = -36 Divide each side by '-1'. z = 36 Simplifying z = 36
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