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Simplifying 5f + 19 = -16 + -8(f + 20) Reorder the terms: 19 + 5f = -16 + -8(f + 20) Reorder the terms: 19 + 5f = -16 + -8(20 + f) 19 + 5f = -16 + (20 * -8 + f * -8) 19 + 5f = -16 + (-160 + -8f) Combine like terms: -16 + -160 = -176 19 + 5f = -176 + -8f Solving 19 + 5f = -176 + -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. 19 + 5f + 8f = -176 + -8f + 8f Combine like terms: 5f + 8f = 13f 19 + 13f = -176 + -8f + 8f Combine like terms: -8f + 8f = 0 19 + 13f = -176 + 0 19 + 13f = -176 Add '-19' to each side of the equation. 19 + -19 + 13f = -176 + -19 Combine like terms: 19 + -19 = 0 0 + 13f = -176 + -19 13f = -176 + -19 Combine like terms: -176 + -19 = -195 13f = -195 Divide each side by '13'. f = -15 Simplifying f = -15
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