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Simplifying 10f + 2(5f + 8) = -10f + -4(2f + -30) Reorder the terms: 10f + 2(8 + 5f) = -10f + -4(2f + -30) 10f + (8 * 2 + 5f * 2) = -10f + -4(2f + -30) 10f + (16 + 10f) = -10f + -4(2f + -30) Reorder the terms: 16 + 10f + 10f = -10f + -4(2f + -30) Combine like terms: 10f + 10f = 20f 16 + 20f = -10f + -4(2f + -30) Reorder the terms: 16 + 20f = -10f + -4(-30 + 2f) 16 + 20f = -10f + (-30 * -4 + 2f * -4) 16 + 20f = -10f + (120 + -8f) Reorder the terms: 16 + 20f = 120 + -10f + -8f Combine like terms: -10f + -8f = -18f 16 + 20f = 120 + -18f Solving 16 + 20f = 120 + -18f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '18f' to each side of the equation. 16 + 20f + 18f = 120 + -18f + 18f Combine like terms: 20f + 18f = 38f 16 + 38f = 120 + -18f + 18f Combine like terms: -18f + 18f = 0 16 + 38f = 120 + 0 16 + 38f = 120 Add '-16' to each side of the equation. 16 + -16 + 38f = 120 + -16 Combine like terms: 16 + -16 = 0 0 + 38f = 120 + -16 38f = 120 + -16 Combine like terms: 120 + -16 = 104 38f = 104 Divide each side by '38'. f = 2.736842105 Simplifying f = 2.736842105
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