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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 = 5z -6 + 5z = -16 + 3z + -3z Combine like terms: 3z + -3z = 0 -6 + 5z = -16 + 0 -6 + 5z = -16 Add '6' to each side of the equation. -6 + 6 + 5z = -16 + 6 Combine like terms: -6 + 6 = 0 0 + 5z = -16 + 6 5z = -16 + 6 Combine like terms: -16 + 6 = -10 5z = -10 Divide each side by '5'. z = -2 Simplifying z = -2
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