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Simplifying 4(z + 3) = -3(z + -4) Reorder the terms: 4(3 + z) = -3(z + -4) (3 * 4 + z * 4) = -3(z + -4) (12 + 4z) = -3(z + -4) Reorder the terms: 12 + 4z = -3(-4 + z) 12 + 4z = (-4 * -3 + z * -3) 12 + 4z = (12 + -3z) Add '-12' to each side of the equation. 12 + -12 + 4z = 12 + -12 + -3z Combine like terms: 12 + -12 = 0 0 + 4z = 12 + -12 + -3z 4z = 12 + -12 + -3z Combine like terms: 12 + -12 = 0 4z = 0 + -3z 4z = -3z Solving 4z = -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. 4z + 3z = -3z + 3z Combine like terms: 4z + 3z = 7z 7z = -3z + 3z Combine like terms: -3z + 3z = 0 7z = 0 Divide each side by '7'. z = 0 Simplifying z = 0
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