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Simplifying -1 + -6(-8z + 8) = -8(-5z + 7) + 3 Reorder the terms: -1 + -6(8 + -8z) = -8(-5z + 7) + 3 -1 + (8 * -6 + -8z * -6) = -8(-5z + 7) + 3 -1 + (-48 + 48z) = -8(-5z + 7) + 3 Combine like terms: -1 + -48 = -49 -49 + 48z = -8(-5z + 7) + 3 Reorder the terms: -49 + 48z = -8(7 + -5z) + 3 -49 + 48z = (7 * -8 + -5z * -8) + 3 -49 + 48z = (-56 + 40z) + 3 Reorder the terms: -49 + 48z = -56 + 3 + 40z Combine like terms: -56 + 3 = -53 -49 + 48z = -53 + 40z Solving -49 + 48z = -53 + 40z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-40z' to each side of the equation. -49 + 48z + -40z = -53 + 40z + -40z Combine like terms: 48z + -40z = 8z -49 + 8z = -53 + 40z + -40z Combine like terms: 40z + -40z = 0 -49 + 8z = -53 + 0 -49 + 8z = -53 Add '49' to each side of the equation. -49 + 49 + 8z = -53 + 49 Combine like terms: -49 + 49 = 0 0 + 8z = -53 + 49 8z = -53 + 49 Combine like terms: -53 + 49 = -4 8z = -4 Divide each side by '8'. z = -0.5 Simplifying z = -0.5
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