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Simplifying 7 + 6(8z + -1) = -6(-7z + -8) + -5 Reorder the terms: 7 + 6(-1 + 8z) = -6(-7z + -8) + -5 7 + (-1 * 6 + 8z * 6) = -6(-7z + -8) + -5 7 + (-6 + 48z) = -6(-7z + -8) + -5 Combine like terms: 7 + -6 = 1 1 + 48z = -6(-7z + -8) + -5 Reorder the terms: 1 + 48z = -6(-8 + -7z) + -5 1 + 48z = (-8 * -6 + -7z * -6) + -5 1 + 48z = (48 + 42z) + -5 Reorder the terms: 1 + 48z = 48 + -5 + 42z Combine like terms: 48 + -5 = 43 1 + 48z = 43 + 42z Solving 1 + 48z = 43 + 42z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-42z' to each side of the equation. 1 + 48z + -42z = 43 + 42z + -42z Combine like terms: 48z + -42z = 6z 1 + 6z = 43 + 42z + -42z Combine like terms: 42z + -42z = 0 1 + 6z = 43 + 0 1 + 6z = 43 Add '-1' to each side of the equation. 1 + -1 + 6z = 43 + -1 Combine like terms: 1 + -1 = 0 0 + 6z = 43 + -1 6z = 43 + -1 Combine like terms: 43 + -1 = 42 6z = 42 Divide each side by '6'. z = 7 Simplifying z = 7
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