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Simplifying 12(z + -3) = 2(8z + 4) + -16 Reorder the terms: 12(-3 + z) = 2(8z + 4) + -16 (-3 * 12 + z * 12) = 2(8z + 4) + -16 (-36 + 12z) = 2(8z + 4) + -16 Reorder the terms: -36 + 12z = 2(4 + 8z) + -16 -36 + 12z = (4 * 2 + 8z * 2) + -16 -36 + 12z = (8 + 16z) + -16 Reorder the terms: -36 + 12z = 8 + -16 + 16z Combine like terms: 8 + -16 = -8 -36 + 12z = -8 + 16z Solving -36 + 12z = -8 + 16z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-16z' to each side of the equation. -36 + 12z + -16z = -8 + 16z + -16z Combine like terms: 12z + -16z = -4z -36 + -4z = -8 + 16z + -16z Combine like terms: 16z + -16z = 0 -36 + -4z = -8 + 0 -36 + -4z = -8 Add '36' to each side of the equation. -36 + 36 + -4z = -8 + 36 Combine like terms: -36 + 36 = 0 0 + -4z = -8 + 36 -4z = -8 + 36 Combine like terms: -8 + 36 = 28 -4z = 28 Divide each side by '-4'. z = -7 Simplifying z = -7
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