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Simplifying 6(4t + -2) = 8 + -1(2t + 3) Reorder the terms: 6(-2 + 4t) = 8 + -1(2t + 3) (-2 * 6 + 4t * 6) = 8 + -1(2t + 3) (-12 + 24t) = 8 + -1(2t + 3) Reorder the terms: -12 + 24t = 8 + -1(3 + 2t) -12 + 24t = 8 + (3 * -1 + 2t * -1) -12 + 24t = 8 + (-3 + -2t) Combine like terms: 8 + -3 = 5 -12 + 24t = 5 + -2t Solving -12 + 24t = 5 + -2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '2t' to each side of the equation. -12 + 24t + 2t = 5 + -2t + 2t Combine like terms: 24t + 2t = 26t -12 + 26t = 5 + -2t + 2t Combine like terms: -2t + 2t = 0 -12 + 26t = 5 + 0 -12 + 26t = 5 Add '12' to each side of the equation. -12 + 12 + 26t = 5 + 12 Combine like terms: -12 + 12 = 0 0 + 26t = 5 + 12 26t = 5 + 12 Combine like terms: 5 + 12 = 17 26t = 17 Divide each side by '26'. t = 0.6538461538 Simplifying t = 0.6538461538
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