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Simplifying -3(49f + 50) = 95 + -7(24f + -97) Reorder the terms: -3(50 + 49f) = 95 + -7(24f + -97) (50 * -3 + 49f * -3) = 95 + -7(24f + -97) (-150 + -147f) = 95 + -7(24f + -97) Reorder the terms: -150 + -147f = 95 + -7(-97 + 24f) -150 + -147f = 95 + (-97 * -7 + 24f * -7) -150 + -147f = 95 + (679 + -168f) Combine like terms: 95 + 679 = 774 -150 + -147f = 774 + -168f Solving -150 + -147f = 774 + -168f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '168f' to each side of the equation. -150 + -147f + 168f = 774 + -168f + 168f Combine like terms: -147f + 168f = 21f -150 + 21f = 774 + -168f + 168f Combine like terms: -168f + 168f = 0 -150 + 21f = 774 + 0 -150 + 21f = 774 Add '150' to each side of the equation. -150 + 150 + 21f = 774 + 150 Combine like terms: -150 + 150 = 0 0 + 21f = 774 + 150 21f = 774 + 150 Combine like terms: 774 + 150 = 924 21f = 924 Divide each side by '21'. f = 44 Simplifying f = 44
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