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Simplifying -11 + 8(-2f + -19) = 17 + -5f + 18 Reorder the terms: -11 + 8(-19 + -2f) = 17 + -5f + 18 -11 + (-19 * 8 + -2f * 8) = 17 + -5f + 18 -11 + (-152 + -16f) = 17 + -5f + 18 Combine like terms: -11 + -152 = -163 -163 + -16f = 17 + -5f + 18 Reorder the terms: -163 + -16f = 17 + 18 + -5f Combine like terms: 17 + 18 = 35 -163 + -16f = 35 + -5f Solving -163 + -16f = 35 + -5f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '5f' to each side of the equation. -163 + -16f + 5f = 35 + -5f + 5f Combine like terms: -16f + 5f = -11f -163 + -11f = 35 + -5f + 5f Combine like terms: -5f + 5f = 0 -163 + -11f = 35 + 0 -163 + -11f = 35 Add '163' to each side of the equation. -163 + 163 + -11f = 35 + 163 Combine like terms: -163 + 163 = 0 0 + -11f = 35 + 163 -11f = 35 + 163 Combine like terms: 35 + 163 = 198 -11f = 198 Divide each side by '-11'. f = -18 Simplifying f = -18
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