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Simplifying 5(z + 4) + 1 = 7 + -1(z + 4) Reorder the terms: 5(4 + z) + 1 = 7 + -1(z + 4) (4 * 5 + z * 5) + 1 = 7 + -1(z + 4) (20 + 5z) + 1 = 7 + -1(z + 4) Reorder the terms: 20 + 1 + 5z = 7 + -1(z + 4) Combine like terms: 20 + 1 = 21 21 + 5z = 7 + -1(z + 4) Reorder the terms: 21 + 5z = 7 + -1(4 + z) 21 + 5z = 7 + (4 * -1 + z * -1) 21 + 5z = 7 + (-4 + -1z) Combine like terms: 7 + -4 = 3 21 + 5z = 3 + -1z Solving 21 + 5z = 3 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 21 + 5z + z = 3 + -1z + z Combine like terms: 5z + z = 6z 21 + 6z = 3 + -1z + z Combine like terms: -1z + z = 0 21 + 6z = 3 + 0 21 + 6z = 3 Add '-21' to each side of the equation. 21 + -21 + 6z = 3 + -21 Combine like terms: 21 + -21 = 0 0 + 6z = 3 + -21 6z = 3 + -21 Combine like terms: 3 + -21 = -18 6z = -18 Divide each side by '6'. z = -3 Simplifying z = -3
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