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Simplifying 4(z + -5) = 3z + -16 Reorder the terms: 4(-5 + z) = 3z + -16 (-5 * 4 + z * 4) = 3z + -16 (-20 + 4z) = 3z + -16 Reorder the terms: -20 + 4z = -16 + 3z Solving -20 + 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. -20 + 4z + -3z = -16 + 3z + -3z Combine like terms: 4z + -3z = 1z -20 + 1z = -16 + 3z + -3z Combine like terms: 3z + -3z = 0 -20 + 1z = -16 + 0 -20 + 1z = -16 Add '20' to each side of the equation. -20 + 20 + 1z = -16 + 20 Combine like terms: -20 + 20 = 0 0 + 1z = -16 + 20 1z = -16 + 20 Combine like terms: -16 + 20 = 4 1z = 4 Divide each side by '1'. z = 4 Simplifying z = 4
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