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Simplifying -7 + -6(1 + -8z) = 35 -7 + (1 * -6 + -8z * -6) = 35 -7 + (-6 + 48z) = 35 Combine like terms: -7 + -6 = -13 -13 + 48z = 35 Solving -13 + 48z = 35 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 48z = 35 + 13 Combine like terms: -13 + 13 = 0 0 + 48z = 35 + 13 48z = 35 + 13 Combine like terms: 35 + 13 = 48 48z = 48 Divide each side by '48'. z = 1 Simplifying z = 1
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