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Simplifying 4z + 16 = 4(3z + -2) Reorder the terms: 16 + 4z = 4(3z + -2) Reorder the terms: 16 + 4z = 4(-2 + 3z) 16 + 4z = (-2 * 4 + 3z * 4) 16 + 4z = (-8 + 12z) Solving 16 + 4z = -8 + 12z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-12z' to each side of the equation. 16 + 4z + -12z = -8 + 12z + -12z Combine like terms: 4z + -12z = -8z 16 + -8z = -8 + 12z + -12z Combine like terms: 12z + -12z = 0 16 + -8z = -8 + 0 16 + -8z = -8 Add '-16' to each side of the equation. 16 + -16 + -8z = -8 + -16 Combine like terms: 16 + -16 = 0 0 + -8z = -8 + -16 -8z = -8 + -16 Combine like terms: -8 + -16 = -24 -8z = -24 Divide each side by '-8'. z = 3 Simplifying z = 3
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