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Simplifying 3(2t + 1) + 7f = 55 Reorder the terms: 3(1 + 2t) + 7f = 55 (1 * 3 + 2t * 3) + 7f = 55 (3 + 6t) + 7f = 55 Reorder the terms: 3 + 7f + 6t = 55 Solving 3 + 7f + 6t = 55 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 7f + -3 + 6t = 55 + -3 Reorder the terms: 3 + -3 + 7f + 6t = 55 + -3 Combine like terms: 3 + -3 = 0 0 + 7f + 6t = 55 + -3 7f + 6t = 55 + -3 Combine like terms: 55 + -3 = 52 7f + 6t = 52 Add '-6t' to each side of the equation. 7f + 6t + -6t = 52 + -6t Combine like terms: 6t + -6t = 0 7f + 0 = 52 + -6t 7f = 52 + -6t Divide each side by '7'. f = 7.428571429 + -0.8571428571t Simplifying f = 7.428571429 + -0.8571428571t
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