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Simplifying f(t) = (8t + -7) * 4 + (8t + 7) * 4 Multiply f * t ft = (8t + -7) * 4 + (8t + 7) * 4 Reorder the terms: ft = (-7 + 8t) * 4 + (8t + 7) * 4 Reorder the terms for easier multiplication: ft = 4(-7 + 8t) + (8t + 7) * 4 ft = (-7 * 4 + 8t * 4) + (8t + 7) * 4 ft = (-28 + 32t) + (8t + 7) * 4 Reorder the terms: ft = -28 + 32t + (7 + 8t) * 4 Reorder the terms for easier multiplication: ft = -28 + 32t + 4(7 + 8t) ft = -28 + 32t + (7 * 4 + 8t * 4) ft = -28 + 32t + (28 + 32t) Reorder the terms: ft = -28 + 28 + 32t + 32t Combine like terms: -28 + 28 = 0 ft = 0 + 32t + 32t ft = 32t + 32t Combine like terms: 32t + 32t = 64t ft = 64t Solving ft = 64t Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 't'. f = 64 Simplifying f = 64
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