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Simplifying -3z + -16 = 2(4z + 3) Reorder the terms: -16 + -3z = 2(4z + 3) Reorder the terms: -16 + -3z = 2(3 + 4z) -16 + -3z = (3 * 2 + 4z * 2) -16 + -3z = (6 + 8z) Solving -16 + -3z = 6 + 8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-8z' to each side of the equation. -16 + -3z + -8z = 6 + 8z + -8z Combine like terms: -3z + -8z = -11z -16 + -11z = 6 + 8z + -8z Combine like terms: 8z + -8z = 0 -16 + -11z = 6 + 0 -16 + -11z = 6 Add '16' to each side of the equation. -16 + 16 + -11z = 6 + 16 Combine like terms: -16 + 16 = 0 0 + -11z = 6 + 16 -11z = 6 + 16 Combine like terms: 6 + 16 = 22 -11z = 22 Divide each side by '-11'. z = -2 Simplifying z = -2
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