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Simplifying 3(4t + -2) = 2t + -7 Reorder the terms: 3(-2 + 4t) = 2t + -7 (-2 * 3 + 4t * 3) = 2t + -7 (-6 + 12t) = 2t + -7 Reorder the terms: -6 + 12t = -7 + 2t Solving -6 + 12t = -7 + 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. -6 + 12t + -2t = -7 + 2t + -2t Combine like terms: 12t + -2t = 10t -6 + 10t = -7 + 2t + -2t Combine like terms: 2t + -2t = 0 -6 + 10t = -7 + 0 -6 + 10t = -7 Add '6' to each side of the equation. -6 + 6 + 10t = -7 + 6 Combine like terms: -6 + 6 = 0 0 + 10t = -7 + 6 10t = -7 + 6 Combine like terms: -7 + 6 = -1 10t = -1 Divide each side by '10'. t = -0.1 Simplifying t = -0.1
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