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Simplifying 7(2t + 1) + 3f = 55 Reorder the terms: 7(1 + 2t) + 3f = 55 (1 * 7 + 2t * 7) + 3f = 55 (7 + 14t) + 3f = 55 Reorder the terms: 7 + 3f + 14t = 55 Solving 7 + 3f + 14t = 55 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 + 3f + -7 + 14t = 55 + -7 Reorder the terms: 7 + -7 + 3f + 14t = 55 + -7 Combine like terms: 7 + -7 = 0 0 + 3f + 14t = 55 + -7 3f + 14t = 55 + -7 Combine like terms: 55 + -7 = 48 3f + 14t = 48 Add '-14t' to each side of the equation. 3f + 14t + -14t = 48 + -14t Combine like terms: 14t + -14t = 0 3f + 0 = 48 + -14t 3f = 48 + -14t Divide each side by '3'. f = 16 + -4.666666667t Simplifying f = 16 + -4.666666667t
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