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Simplifying -28 = 6 + 4(z + 9) Reorder the terms: -28 = 6 + 4(9 + z) -28 = 6 + (9 * 4 + z * 4) -28 = 6 + (36 + 4z) Combine like terms: 6 + 36 = 42 -28 = 42 + 4z Solving -28 = 42 + 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. -28 + -4z = 42 + 4z + -4z Combine like terms: 4z + -4z = 0 -28 + -4z = 42 + 0 -28 + -4z = 42 Add '28' to each side of the equation. -28 + 28 + -4z = 42 + 28 Combine like terms: -28 + 28 = 0 0 + -4z = 42 + 28 -4z = 42 + 28 Combine like terms: 42 + 28 = 70 -4z = 70 Divide each side by '-4'. z = -17.5 Simplifying z = -17.5
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