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Simplifying 4(z + -3) + 4 = 16 + 4 Reorder the terms: 4(-3 + z) + 4 = 16 + 4 (-3 * 4 + z * 4) + 4 = 16 + 4 (-12 + 4z) + 4 = 16 + 4 Reorder the terms: -12 + 4 + 4z = 16 + 4 Combine like terms: -12 + 4 = -8 -8 + 4z = 16 + 4 Combine like terms: 16 + 4 = 20 -8 + 4z = 20 Solving -8 + 4z = 20 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 4z = 20 + 8 Combine like terms: -8 + 8 = 0 0 + 4z = 20 + 8 4z = 20 + 8 Combine like terms: 20 + 8 = 28 4z = 28 Divide each side by '4'. z = 7 Simplifying z = 7
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