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Simplifying 4(f + 5) + -2(3f + 18) = -2(f + 8) Reorder the terms: 4(5 + f) + -2(3f + 18) = -2(f + 8) (5 * 4 + f * 4) + -2(3f + 18) = -2(f + 8) (20 + 4f) + -2(3f + 18) = -2(f + 8) Reorder the terms: 20 + 4f + -2(18 + 3f) = -2(f + 8) 20 + 4f + (18 * -2 + 3f * -2) = -2(f + 8) 20 + 4f + (-36 + -6f) = -2(f + 8) Reorder the terms: 20 + -36 + 4f + -6f = -2(f + 8) Combine like terms: 20 + -36 = -16 -16 + 4f + -6f = -2(f + 8) Combine like terms: 4f + -6f = -2f -16 + -2f = -2(f + 8) Reorder the terms: -16 + -2f = -2(8 + f) -16 + -2f = (8 * -2 + f * -2) -16 + -2f = (-16 + -2f) Add '16' to each side of the equation. -16 + 16 + -2f = -16 + 16 + -2f Combine like terms: -16 + 16 = 0 0 + -2f = -16 + 16 + -2f -2f = -16 + 16 + -2f Combine like terms: -16 + 16 = 0 -2f = 0 + -2f -2f = -2f Add '2f' to each side of the equation. -2f + 2f = -2f + 2f Combine like terms: -2f + 2f = 0 0 = -2f + 2f Combine like terms: -2f + 2f = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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