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Simplifying 8(t + -3) + 4t = 6(2t + 1) * 10 Reorder the terms: 8(-3 + t) + 4t = 6(2t + 1) * 10 (-3 * 8 + t * 8) + 4t = 6(2t + 1) * 10 (-24 + 8t) + 4t = 6(2t + 1) * 10 Combine like terms: 8t + 4t = 12t -24 + 12t = 6(2t + 1) * 10 Reorder the terms: -24 + 12t = 6(1 + 2t) * 10 Reorder the terms for easier multiplication: -24 + 12t = 6 * 10(1 + 2t) Multiply 6 * 10 -24 + 12t = 60(1 + 2t) -24 + 12t = (1 * 60 + 2t * 60) -24 + 12t = (60 + 120t) Solving -24 + 12t = 60 + 120t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-120t' to each side of the equation. -24 + 12t + -120t = 60 + 120t + -120t Combine like terms: 12t + -120t = -108t -24 + -108t = 60 + 120t + -120t Combine like terms: 120t + -120t = 0 -24 + -108t = 60 + 0 -24 + -108t = 60 Add '24' to each side of the equation. -24 + 24 + -108t = 60 + 24 Combine like terms: -24 + 24 = 0 0 + -108t = 60 + 24 -108t = 60 + 24 Combine like terms: 60 + 24 = 84 -108t = 84 Divide each side by '-108'. t = -0.7777777778 Simplifying t = -0.7777777778
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