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Simplifying 4(z + 5) + 6 = 3(z + -5) Reorder the terms: 4(5 + z) + 6 = 3(z + -5) (5 * 4 + z * 4) + 6 = 3(z + -5) (20 + 4z) + 6 = 3(z + -5) Reorder the terms: 20 + 6 + 4z = 3(z + -5) Combine like terms: 20 + 6 = 26 26 + 4z = 3(z + -5) Reorder the terms: 26 + 4z = 3(-5 + z) 26 + 4z = (-5 * 3 + z * 3) 26 + 4z = (-15 + 3z) Solving 26 + 4z = -15 + 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. 26 + 4z + -3z = -15 + 3z + -3z Combine like terms: 4z + -3z = 1z 26 + 1z = -15 + 3z + -3z Combine like terms: 3z + -3z = 0 26 + 1z = -15 + 0 26 + 1z = -15 Add '-26' to each side of the equation. 26 + -26 + 1z = -15 + -26 Combine like terms: 26 + -26 = 0 0 + 1z = -15 + -26 1z = -15 + -26 Combine like terms: -15 + -26 = -41 1z = -41 Divide each side by '1'. z = -41 Simplifying z = -41
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