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Simplifying -2(4t + -3) + 6 = 8t + -7 Reorder the terms: -2(-3 + 4t) + 6 = 8t + -7 (-3 * -2 + 4t * -2) + 6 = 8t + -7 (6 + -8t) + 6 = 8t + -7 Reorder the terms: 6 + 6 + -8t = 8t + -7 Combine like terms: 6 + 6 = 12 12 + -8t = 8t + -7 Reorder the terms: 12 + -8t = -7 + 8t Solving 12 + -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. 12 + -8t + -8t = -7 + 8t + -8t Combine like terms: -8t + -8t = -16t 12 + -16t = -7 + 8t + -8t Combine like terms: 8t + -8t = 0 12 + -16t = -7 + 0 12 + -16t = -7 Add '-12' to each side of the equation. 12 + -12 + -16t = -7 + -12 Combine like terms: 12 + -12 = 0 0 + -16t = -7 + -12 -16t = -7 + -12 Combine like terms: -7 + -12 = -19 -16t = -19 Divide each side by '-16'. t = 1.1875 Simplifying t = 1.1875
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