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Simplifying 4(z + -4) + 12 = 7z + 5 Reorder the terms: 4(-4 + z) + 12 = 7z + 5 (-4 * 4 + z * 4) + 12 = 7z + 5 (-16 + 4z) + 12 = 7z + 5 Reorder the terms: -16 + 12 + 4z = 7z + 5 Combine like terms: -16 + 12 = -4 -4 + 4z = 7z + 5 Reorder the terms: -4 + 4z = 5 + 7z Solving -4 + 4z = 5 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. -4 + 4z + -7z = 5 + 7z + -7z Combine like terms: 4z + -7z = -3z -4 + -3z = 5 + 7z + -7z Combine like terms: 7z + -7z = 0 -4 + -3z = 5 + 0 -4 + -3z = 5 Add '4' to each side of the equation. -4 + 4 + -3z = 5 + 4 Combine like terms: -4 + 4 = 0 0 + -3z = 5 + 4 -3z = 5 + 4 Combine like terms: 5 + 4 = 9 -3z = 9 Divide each side by '-3'. z = -3 Simplifying z = -3
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