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Simplifying 2 + 6(-2z + -1) = -9(-4z + 4) + -5 Reorder the terms: 2 + 6(-1 + -2z) = -9(-4z + 4) + -5 2 + (-1 * 6 + -2z * 6) = -9(-4z + 4) + -5 2 + (-6 + -12z) = -9(-4z + 4) + -5 Combine like terms: 2 + -6 = -4 -4 + -12z = -9(-4z + 4) + -5 Reorder the terms: -4 + -12z = -9(4 + -4z) + -5 -4 + -12z = (4 * -9 + -4z * -9) + -5 -4 + -12z = (-36 + 36z) + -5 Reorder the terms: -4 + -12z = -36 + -5 + 36z Combine like terms: -36 + -5 = -41 -4 + -12z = -41 + 36z Solving -4 + -12z = -41 + 36z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-36z' to each side of the equation. -4 + -12z + -36z = -41 + 36z + -36z Combine like terms: -12z + -36z = -48z -4 + -48z = -41 + 36z + -36z Combine like terms: 36z + -36z = 0 -4 + -48z = -41 + 0 -4 + -48z = -41 Add '4' to each side of the equation. -4 + 4 + -48z = -41 + 4 Combine like terms: -4 + 4 = 0 0 + -48z = -41 + 4 -48z = -41 + 4 Combine like terms: -41 + 4 = -37 -48z = -37 Divide each side by '-48'. z = 0.7708333333 Simplifying z = 0.7708333333
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