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Simplifying 2[f + -2] + 3[4f + -1] = 7 Reorder the terms: 2[-2 + f] + 3[4f + -1] = 7 [-2 * 2 + f * 2] + 3[4f + -1] = 7 [-4 + 2f] + 3[4f + -1] = 7 Reorder the terms: -4 + 2f + 3[-1 + 4f] = 7 -4 + 2f + [-1 * 3 + 4f * 3] = 7 -4 + 2f + [-3 + 12f] = 7 Reorder the terms: -4 + -3 + 2f + 12f = 7 Combine like terms: -4 + -3 = -7 -7 + 2f + 12f = 7 Combine like terms: 2f + 12f = 14f -7 + 14f = 7 Solving -7 + 14f = 7 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 14f = 7 + 7 Combine like terms: -7 + 7 = 0 0 + 14f = 7 + 7 14f = 7 + 7 Combine like terms: 7 + 7 = 14 14f = 14 Divide each side by '14'. f = 1 Simplifying f = 1
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