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Simplifying -2 = 4(z + 3) Reorder the terms: -2 = 4(3 + z) -2 = (3 * 4 + z * 4) -2 = (12 + 4z) Solving -2 = 12 + 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. -2 + -4z = 12 + 4z + -4z Combine like terms: 4z + -4z = 0 -2 + -4z = 12 + 0 -2 + -4z = 12 Add '2' to each side of the equation. -2 + 2 + -4z = 12 + 2 Combine like terms: -2 + 2 = 0 0 + -4z = 12 + 2 -4z = 12 + 2 Combine like terms: 12 + 2 = 14 -4z = 14 Divide each side by '-4'. z = -3.5 Simplifying z = -3.5
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