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Simplifying -6(4f + 7) = -23 + -8f Reorder the terms: -6(7 + 4f) = -23 + -8f (7 * -6 + 4f * -6) = -23 + -8f (-42 + -24f) = -23 + -8f Solving -42 + -24f = -23 + -8f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '8f' to each side of the equation. -42 + -24f + 8f = -23 + -8f + 8f Combine like terms: -24f + 8f = -16f -42 + -16f = -23 + -8f + 8f Combine like terms: -8f + 8f = 0 -42 + -16f = -23 + 0 -42 + -16f = -23 Add '42' to each side of the equation. -42 + 42 + -16f = -23 + 42 Combine like terms: -42 + 42 = 0 0 + -16f = -23 + 42 -16f = -23 + 42 Combine like terms: -23 + 42 = 19 -16f = 19 Divide each side by '-16'. f = -1.1875 Simplifying f = -1.1875
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