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Simplifying -6(f + -89) = -30 Reorder the terms: -6(-89 + f) = -30 (-89 * -6 + f * -6) = -30 (534 + -6f) = -30 Solving 534 + -6f = -30 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-534' to each side of the equation. 534 + -534 + -6f = -30 + -534 Combine like terms: 534 + -534 = 0 0 + -6f = -30 + -534 -6f = -30 + -534 Combine like terms: -30 + -534 = -564 -6f = -564 Divide each side by '-6'. f = 94 Simplifying f = 94
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