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Simplifying 7 = 2(f + -4) + 9 Reorder the terms: 7 = 2(-4 + f) + 9 7 = (-4 * 2 + f * 2) + 9 7 = (-8 + 2f) + 9 Reorder the terms: 7 = -8 + 9 + 2f Combine like terms: -8 + 9 = 1 7 = 1 + 2f Solving 7 = 1 + 2f 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. 7 + -2f = 1 + 2f + -2f Combine like terms: 2f + -2f = 0 7 + -2f = 1 + 0 7 + -2f = 1 Add '-7' to each side of the equation. 7 + -7 + -2f = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -2f = 1 + -7 -2f = 1 + -7 Combine like terms: 1 + -7 = -6 -2f = -6 Divide each side by '-2'. f = 3 Simplifying f = 3
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