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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 = -5z -16 + -5z = -6 + 8z + -8z Combine like terms: 8z + -8z = 0 -16 + -5z = -6 + 0 -16 + -5z = -6 Add '16' to each side of the equation. -16 + 16 + -5z = -6 + 16 Combine like terms: -16 + 16 = 0 0 + -5z = -6 + 16 -5z = -6 + 16 Combine like terms: -6 + 16 = 10 -5z = 10 Divide each side by '-5'. z = -2 Simplifying z = -2
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