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Simplifying 5(3f + -1) + -10f = -1(2 + -7f) Reorder the terms: 5(-1 + 3f) + -10f = -1(2 + -7f) (-1 * 5 + 3f * 5) + -10f = -1(2 + -7f) (-5 + 15f) + -10f = -1(2 + -7f) Combine like terms: 15f + -10f = 5f -5 + 5f = -1(2 + -7f) -5 + 5f = (2 * -1 + -7f * -1) -5 + 5f = (-2 + 7f) Solving -5 + 5f = -2 + 7f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-7f' to each side of the equation. -5 + 5f + -7f = -2 + 7f + -7f Combine like terms: 5f + -7f = -2f -5 + -2f = -2 + 7f + -7f Combine like terms: 7f + -7f = 0 -5 + -2f = -2 + 0 -5 + -2f = -2 Add '5' to each side of the equation. -5 + 5 + -2f = -2 + 5 Combine like terms: -5 + 5 = 0 0 + -2f = -2 + 5 -2f = -2 + 5 Combine like terms: -2 + 5 = 3 -2f = 3 Divide each side by '-2'. f = -1.5 Simplifying f = -1.5
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