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Simplifying 4(z + -3) = 3z + 16 Reorder the terms: 4(-3 + z) = 3z + 16 (-3 * 4 + z * 4) = 3z + 16 (-12 + 4z) = 3z + 16 Reorder the terms: -12 + 4z = 16 + 3z Solving -12 + 4z = 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. -12 + 4z + -3z = 16 + 3z + -3z Combine like terms: 4z + -3z = 1z -12 + 1z = 16 + 3z + -3z Combine like terms: 3z + -3z = 0 -12 + 1z = 16 + 0 -12 + 1z = 16 Add '12' to each side of the equation. -12 + 12 + 1z = 16 + 12 Combine like terms: -12 + 12 = 0 0 + 1z = 16 + 12 1z = 16 + 12 Combine like terms: 16 + 12 = 28 1z = 28 Divide each side by '1'. z = 28 Simplifying z = 28
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