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Simplifying -47 = 13z + -4(4z + 5) Reorder the terms: -47 = 13z + -4(5 + 4z) -47 = 13z + (5 * -4 + 4z * -4) -47 = 13z + (-20 + -16z) Reorder the terms: -47 = -20 + 13z + -16z Combine like terms: 13z + -16z = -3z -47 = -20 + -3z Solving -47 = -20 + -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. -47 + 3z = -20 + -3z + 3z Combine like terms: -3z + 3z = 0 -47 + 3z = -20 + 0 -47 + 3z = -20 Add '47' to each side of the equation. -47 + 47 + 3z = -20 + 47 Combine like terms: -47 + 47 = 0 0 + 3z = -20 + 47 3z = -20 + 47 Combine like terms: -20 + 47 = 27 3z = 27 Divide each side by '3'. z = 9 Simplifying z = 9
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