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Simplifying 4(3f + -2) + 1 = 7f + 13 Reorder the terms: 4(-2 + 3f) + 1 = 7f + 13 (-2 * 4 + 3f * 4) + 1 = 7f + 13 (-8 + 12f) + 1 = 7f + 13 Reorder the terms: -8 + 1 + 12f = 7f + 13 Combine like terms: -8 + 1 = -7 -7 + 12f = 7f + 13 Reorder the terms: -7 + 12f = 13 + 7f Solving -7 + 12f = 13 + 7f Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-7f' to each side of the equation. -7 + 12f + -7f = 13 + 7f + -7f Combine like terms: 12f + -7f = 5f -7 + 5f = 13 + 7f + -7f Combine like terms: 7f + -7f = 0 -7 + 5f = 13 + 0 -7 + 5f = 13 Add '7' to each side of the equation. -7 + 7 + 5f = 13 + 7 Combine like terms: -7 + 7 = 0 0 + 5f = 13 + 7 5f = 13 + 7 Combine like terms: 13 + 7 = 20 5f = 20 Divide each side by '5'. f = 4 Simplifying f = 4
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