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Simplifying -3(4t + -2) + 4t = 8t + -7 Reorder the terms: -3(-2 + 4t) + 4t = 8t + -7 (-2 * -3 + 4t * -3) + 4t = 8t + -7 (6 + -12t) + 4t = 8t + -7 Combine like terms: -12t + 4t = -8t 6 + -8t = 8t + -7 Reorder the terms: 6 + -8t = -7 + 8t Solving 6 + -8t = -7 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. 6 + -8t + -8t = -7 + 8t + -8t Combine like terms: -8t + -8t = -16t 6 + -16t = -7 + 8t + -8t Combine like terms: 8t + -8t = 0 6 + -16t = -7 + 0 6 + -16t = -7 Add '-6' to each side of the equation. 6 + -6 + -16t = -7 + -6 Combine like terms: 6 + -6 = 0 0 + -16t = -7 + -6 -16t = -7 + -6 Combine like terms: -7 + -6 = -13 -16t = -13 Divide each side by '-16'. t = 0.8125 Simplifying t = 0.8125
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