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Simplifying 3z + -12 = 4 + 7(z + 4) Reorder the terms: -12 + 3z = 4 + 7(z + 4) Reorder the terms: -12 + 3z = 4 + 7(4 + z) -12 + 3z = 4 + (4 * 7 + z * 7) -12 + 3z = 4 + (28 + 7z) Combine like terms: 4 + 28 = 32 -12 + 3z = 32 + 7z Solving -12 + 3z = 32 + 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. -12 + 3z + -7z = 32 + 7z + -7z Combine like terms: 3z + -7z = -4z -12 + -4z = 32 + 7z + -7z Combine like terms: 7z + -7z = 0 -12 + -4z = 32 + 0 -12 + -4z = 32 Add '12' to each side of the equation. -12 + 12 + -4z = 32 + 12 Combine like terms: -12 + 12 = 0 0 + -4z = 32 + 12 -4z = 32 + 12 Combine like terms: 32 + 12 = 44 -4z = 44 Divide each side by '-4'. z = -11 Simplifying z = -11
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