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Simplifying 7(z + -4) + 8z + -4 = 0 Reorder the terms: 7(-4 + z) + 8z + -4 = 0 (-4 * 7 + z * 7) + 8z + -4 = 0 (-28 + 7z) + 8z + -4 = 0 Reorder the terms: -28 + -4 + 7z + 8z = 0 Combine like terms: -28 + -4 = -32 -32 + 7z + 8z = 0 Combine like terms: 7z + 8z = 15z -32 + 15z = 0 Solving -32 + 15z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 15z = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 15z = 0 + 32 15z = 0 + 32 Combine like terms: 0 + 32 = 32 15z = 32 Divide each side by '15'. z = 2.133333333 Simplifying z = 2.133333333
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