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Simplifying 5(8 + -2t) = 2 + 16(4t) (8 * 5 + -2t * 5) = 2 + 16(4t) (40 + -10t) = 2 + 16(4t) Remove parenthesis around (4t) 40 + -10t = 2 + 16 * 4t Multiply 16 * 4 40 + -10t = 2 + 64t Solving 40 + -10t = 2 + 64t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-64t' to each side of the equation. 40 + -10t + -64t = 2 + 64t + -64t Combine like terms: -10t + -64t = -74t 40 + -74t = 2 + 64t + -64t Combine like terms: 64t + -64t = 0 40 + -74t = 2 + 0 40 + -74t = 2 Add '-40' to each side of the equation. 40 + -40 + -74t = 2 + -40 Combine like terms: 40 + -40 = 0 0 + -74t = 2 + -40 -74t = 2 + -40 Combine like terms: 2 + -40 = -38 -74t = -38 Divide each side by '-74'. t = 0.5135135135 Simplifying t = 0.5135135135
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