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Simplifying 8(z + -6) + 7z + -1 = 0 Reorder the terms: 8(-6 + z) + 7z + -1 = 0 (-6 * 8 + z * 8) + 7z + -1 = 0 (-48 + 8z) + 7z + -1 = 0 Reorder the terms: -48 + -1 + 8z + 7z = 0 Combine like terms: -48 + -1 = -49 -49 + 8z + 7z = 0 Combine like terms: 8z + 7z = 15z -49 + 15z = 0 Solving -49 + 15z = 0 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + 15z = 0 + 49 Combine like terms: -49 + 49 = 0 0 + 15z = 0 + 49 15z = 0 + 49 Combine like terms: 0 + 49 = 49 15z = 49 Divide each side by '15'. z = 3.266666667 Simplifying z = 3.266666667
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