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Simplifying -4 + -8(6z + 4) = 8(4z + -7) + -1 Reorder the terms: -4 + -8(4 + 6z) = 8(4z + -7) + -1 -4 + (4 * -8 + 6z * -8) = 8(4z + -7) + -1 -4 + (-32 + -48z) = 8(4z + -7) + -1 Combine like terms: -4 + -32 = -36 -36 + -48z = 8(4z + -7) + -1 Reorder the terms: -36 + -48z = 8(-7 + 4z) + -1 -36 + -48z = (-7 * 8 + 4z * 8) + -1 -36 + -48z = (-56 + 32z) + -1 Reorder the terms: -36 + -48z = -56 + -1 + 32z Combine like terms: -56 + -1 = -57 -36 + -48z = -57 + 32z Solving -36 + -48z = -57 + 32z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-32z' to each side of the equation. -36 + -48z + -32z = -57 + 32z + -32z Combine like terms: -48z + -32z = -80z -36 + -80z = -57 + 32z + -32z Combine like terms: 32z + -32z = 0 -36 + -80z = -57 + 0 -36 + -80z = -57 Add '36' to each side of the equation. -36 + 36 + -80z = -57 + 36 Combine like terms: -36 + 36 = 0 0 + -80z = -57 + 36 -80z = -57 + 36 Combine like terms: -57 + 36 = -21 -80z = -21 Divide each side by '-80'. z = 0.2625 Simplifying z = 0.2625
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