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Simplifying 7(z + -2) + 8z + -2 = 0 Reorder the terms: 7(-2 + z) + 8z + -2 = 0 (-2 * 7 + z * 7) + 8z + -2 = 0 (-14 + 7z) + 8z + -2 = 0 Reorder the terms: -14 + -2 + 7z + 8z = 0 Combine like terms: -14 + -2 = -16 -16 + 7z + 8z = 0 Combine like terms: 7z + 8z = 15z -16 + 15z = 0 Solving -16 + 15z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 15z = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 15z = 0 + 16 15z = 0 + 16 Combine like terms: 0 + 16 = 16 15z = 16 Divide each side by '15'. z = 1.066666667 Simplifying z = 1.066666667
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