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Simplifying 8(2f + -2) = 7(3f + t) Reorder the terms: 8(-2 + 2f) = 7(3f + t) (-2 * 8 + 2f * 8) = 7(3f + t) (-16 + 16f) = 7(3f + t) -16 + 16f = (3f * 7 + t * 7) -16 + 16f = (21f + 7t) Solving -16 + 16f = 21f + 7t Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-21f' to each side of the equation. -16 + 16f + -21f = 21f + -21f + 7t Combine like terms: 16f + -21f = -5f -16 + -5f = 21f + -21f + 7t Combine like terms: 21f + -21f = 0 -16 + -5f = 0 + 7t -16 + -5f = 7t Add '16' to each side of the equation. -16 + 16 + -5f = 16 + 7t Combine like terms: -16 + 16 = 0 0 + -5f = 16 + 7t -5f = 16 + 7t Divide each side by '-5'. f = -3.2 + -1.4t Simplifying f = -3.2 + -1.4t
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