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Simplifying 4(3t + -1) + -6 = -4t + 3(2t + -8) Reorder the terms: 4(-1 + 3t) + -6 = -4t + 3(2t + -8) (-1 * 4 + 3t * 4) + -6 = -4t + 3(2t + -8) (-4 + 12t) + -6 = -4t + 3(2t + -8) Reorder the terms: -4 + -6 + 12t = -4t + 3(2t + -8) Combine like terms: -4 + -6 = -10 -10 + 12t = -4t + 3(2t + -8) Reorder the terms: -10 + 12t = -4t + 3(-8 + 2t) -10 + 12t = -4t + (-8 * 3 + 2t * 3) -10 + 12t = -4t + (-24 + 6t) Reorder the terms: -10 + 12t = -24 + -4t + 6t Combine like terms: -4t + 6t = 2t -10 + 12t = -24 + 2t Solving -10 + 12t = -24 + 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. -10 + 12t + -2t = -24 + 2t + -2t Combine like terms: 12t + -2t = 10t -10 + 10t = -24 + 2t + -2t Combine like terms: 2t + -2t = 0 -10 + 10t = -24 + 0 -10 + 10t = -24 Add '10' to each side of the equation. -10 + 10 + 10t = -24 + 10 Combine like terms: -10 + 10 = 0 0 + 10t = -24 + 10 10t = -24 + 10 Combine like terms: -24 + 10 = -14 10t = -14 Divide each side by '10'. t = -1.4 Simplifying t = -1.4
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