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Simplifying 2(4z + 3) = -3z + -16 Reorder the terms: 2(3 + 4z) = -3z + -16 (3 * 2 + 4z * 2) = -3z + -16 (6 + 8z) = -3z + -16 Reorder the terms: 6 + 8z = -16 + -3z Solving 6 + 8z = -16 + -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. 6 + 8z + 3z = -16 + -3z + 3z Combine like terms: 8z + 3z = 11z 6 + 11z = -16 + -3z + 3z Combine like terms: -3z + 3z = 0 6 + 11z = -16 + 0 6 + 11z = -16 Add '-6' to each side of the equation. 6 + -6 + 11z = -16 + -6 Combine like terms: 6 + -6 = 0 0 + 11z = -16 + -6 11z = -16 + -6 Combine like terms: -16 + -6 = -22 11z = -22 Divide each side by '11'. z = -2 Simplifying z = -2
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