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Simplifying -3(4t + 5) + 8t = 2t + -4 Reorder the terms: -3(5 + 4t) + 8t = 2t + -4 (5 * -3 + 4t * -3) + 8t = 2t + -4 (-15 + -12t) + 8t = 2t + -4 Combine like terms: -12t + 8t = -4t -15 + -4t = 2t + -4 Reorder the terms: -15 + -4t = -4 + 2t Solving -15 + -4t = -4 + 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. -15 + -4t + -2t = -4 + 2t + -2t Combine like terms: -4t + -2t = -6t -15 + -6t = -4 + 2t + -2t Combine like terms: 2t + -2t = 0 -15 + -6t = -4 + 0 -15 + -6t = -4 Add '15' to each side of the equation. -15 + 15 + -6t = -4 + 15 Combine like terms: -15 + 15 = 0 0 + -6t = -4 + 15 -6t = -4 + 15 Combine like terms: -4 + 15 = 11 -6t = 11 Divide each side by '-6'. t = -1.833333333 Simplifying t = -1.833333333
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