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Simplifying 7(z + -4) + 8z + -3 = 0 Reorder the terms: 7(-4 + z) + 8z + -3 = 0 (-4 * 7 + z * 7) + 8z + -3 = 0 (-28 + 7z) + 8z + -3 = 0 Reorder the terms: -28 + -3 + 7z + 8z = 0 Combine like terms: -28 + -3 = -31 -31 + 7z + 8z = 0 Combine like terms: 7z + 8z = 15z -31 + 15z = 0 Solving -31 + 15z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 15z = 0 + 31 Combine like terms: -31 + 31 = 0 0 + 15z = 0 + 31 15z = 0 + 31 Combine like terms: 0 + 31 = 31 15z = 31 Divide each side by '15'. z = 2.066666667 Simplifying z = 2.066666667
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