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Simplifying 4(f + -2) = 2f + 2(g + -3) Reorder the terms: 4(-2 + f) = 2f + 2(g + -3) (-2 * 4 + f * 4) = 2f + 2(g + -3) (-8 + 4f) = 2f + 2(g + -3) Reorder the terms: -8 + 4f = 2f + 2(-3 + g) -8 + 4f = 2f + (-3 * 2 + g * 2) -8 + 4f = 2f + (-6 + 2g) Reorder the terms: -8 + 4f = -6 + 2f + 2g Solving -8 + 4f = -6 + 2f + 2g Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-2f' to each side of the equation. -8 + 4f + -2f = -6 + 2f + -2f + 2g Combine like terms: 4f + -2f = 2f -8 + 2f = -6 + 2f + -2f + 2g Combine like terms: 2f + -2f = 0 -8 + 2f = -6 + 0 + 2g -8 + 2f = -6 + 2g Add '8' to each side of the equation. -8 + 8 + 2f = -6 + 8 + 2g Combine like terms: -8 + 8 = 0 0 + 2f = -6 + 8 + 2g 2f = -6 + 8 + 2g Combine like terms: -6 + 8 = 2 2f = 2 + 2g Divide each side by '2'. f = 1 + g Simplifying f = 1 + g
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