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Simplifying -7f + 16 = 13f + 6(-4f + -4) Reorder the terms: 16 + -7f = 13f + 6(-4f + -4) Reorder the terms: 16 + -7f = 13f + 6(-4 + -4f) 16 + -7f = 13f + (-4 * 6 + -4f * 6) 16 + -7f = 13f + (-24 + -24f) Reorder the terms: 16 + -7f = -24 + 13f + -24f Combine like terms: 13f + -24f = -11f 16 + -7f = -24 + -11f Solving 16 + -7f = -24 + -11f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '11f' to each side of the equation. 16 + -7f + 11f = -24 + -11f + 11f Combine like terms: -7f + 11f = 4f 16 + 4f = -24 + -11f + 11f Combine like terms: -11f + 11f = 0 16 + 4f = -24 + 0 16 + 4f = -24 Add '-16' to each side of the equation. 16 + -16 + 4f = -24 + -16 Combine like terms: 16 + -16 = 0 0 + 4f = -24 + -16 4f = -24 + -16 Combine like terms: -24 + -16 = -40 4f = -40 Divide each side by '4'. f = -10 Simplifying f = -10
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