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Simplifying 5(f + -2) + 6(t + -3) = 5 Reorder the terms: 5(-2 + f) + 6(t + -3) = 5 (-2 * 5 + f * 5) + 6(t + -3) = 5 (-10 + 5f) + 6(t + -3) = 5 Reorder the terms: -10 + 5f + 6(-3 + t) = 5 -10 + 5f + (-3 * 6 + t * 6) = 5 -10 + 5f + (-18 + 6t) = 5 Reorder the terms: -10 + -18 + 5f + 6t = 5 Combine like terms: -10 + -18 = -28 -28 + 5f + 6t = 5 Solving -28 + 5f + 6t = 5 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 5f + 28 + 6t = 5 + 28 Reorder the terms: -28 + 28 + 5f + 6t = 5 + 28 Combine like terms: -28 + 28 = 0 0 + 5f + 6t = 5 + 28 5f + 6t = 5 + 28 Combine like terms: 5 + 28 = 33 5f + 6t = 33 Add '-6t' to each side of the equation. 5f + 6t + -6t = 33 + -6t Combine like terms: 6t + -6t = 0 5f + 0 = 33 + -6t 5f = 33 + -6t Divide each side by '5'. f = 6.6 + -1.2t Simplifying f = 6.6 + -1.2t
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