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Simplifying 9f + -21 = 3(t + -7) + 6f Reorder the terms: -21 + 9f = 3(t + -7) + 6f Reorder the terms: -21 + 9f = 3(-7 + t) + 6f -21 + 9f = (-7 * 3 + t * 3) + 6f -21 + 9f = (-21 + 3t) + 6f Reorder the terms: -21 + 9f = -21 + 6f + 3t Add '21' to each side of the equation. -21 + 21 + 9f = -21 + 6f + 21 + 3t Combine like terms: -21 + 21 = 0 0 + 9f = -21 + 6f + 21 + 3t 9f = -21 + 6f + 21 + 3t Reorder the terms: 9f = -21 + 21 + 6f + 3t Combine like terms: -21 + 21 = 0 9f = 0 + 6f + 3t 9f = 6f + 3t Solving 9f = 6f + 3t Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-6f' to each side of the equation. 9f + -6f = 6f + -6f + 3t Combine like terms: 9f + -6f = 3f 3f = 6f + -6f + 3t Combine like terms: 6f + -6f = 0 3f = 0 + 3t 3f = 3t Divide each side by '3'. f = t Simplifying f = t
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