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Simplifying -6 + -3(-9z + -5) = 8(7z + 6) + -4 Reorder the terms: -6 + -3(-5 + -9z) = 8(7z + 6) + -4 -6 + (-5 * -3 + -9z * -3) = 8(7z + 6) + -4 -6 + (15 + 27z) = 8(7z + 6) + -4 Combine like terms: -6 + 15 = 9 9 + 27z = 8(7z + 6) + -4 Reorder the terms: 9 + 27z = 8(6 + 7z) + -4 9 + 27z = (6 * 8 + 7z * 8) + -4 9 + 27z = (48 + 56z) + -4 Reorder the terms: 9 + 27z = 48 + -4 + 56z Combine like terms: 48 + -4 = 44 9 + 27z = 44 + 56z Solving 9 + 27z = 44 + 56z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-56z' to each side of the equation. 9 + 27z + -56z = 44 + 56z + -56z Combine like terms: 27z + -56z = -29z 9 + -29z = 44 + 56z + -56z Combine like terms: 56z + -56z = 0 9 + -29z = 44 + 0 9 + -29z = 44 Add '-9' to each side of the equation. 9 + -9 + -29z = 44 + -9 Combine like terms: 9 + -9 = 0 0 + -29z = 44 + -9 -29z = 44 + -9 Combine like terms: 44 + -9 = 35 -29z = 35 Divide each side by '-29'. z = -1.206896552 Simplifying z = -1.206896552
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