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Simplifying 10(-3 + -2t) + 10 + -2(6f + -13) = 0 (-3 * 10 + -2t * 10) + 10 + -2(6f + -13) = 0 (-30 + -20t) + 10 + -2(6f + -13) = 0 Reorder the terms: -30 + -20t + 10 + -2(-13 + 6f) = 0 -30 + -20t + 10 + (-13 * -2 + 6f * -2) = 0 -30 + -20t + 10 + (26 + -12f) = 0 Reorder the terms: -30 + 10 + 26 + -12f + -20t = 0 Combine like terms: -30 + 10 = -20 -20 + 26 + -12f + -20t = 0 Combine like terms: -20 + 26 = 6 6 + -12f + -20t = 0 Solving 6 + -12f + -20t = 0 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -12f + -6 + -20t = 0 + -6 Reorder the terms: 6 + -6 + -12f + -20t = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -12f + -20t = 0 + -6 -12f + -20t = 0 + -6 Combine like terms: 0 + -6 = -6 -12f + -20t = -6 Add '20t' to each side of the equation. -12f + -20t + 20t = -6 + 20t Combine like terms: -20t + 20t = 0 -12f + 0 = -6 + 20t -12f = -6 + 20t Divide each side by '-12'. f = 0.5 + -1.666666667t Simplifying f = 0.5 + -1.666666667t
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