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Simplifying -4t + -15 + 8t = 2t + 19 Reorder the terms: -15 + -4t + 8t = 2t + 19 Combine like terms: -4t + 8t = 4t -15 + 4t = 2t + 19 Reorder the terms: -15 + 4t = 19 + 2t Solving -15 + 4t = 19 + 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 = 19 + 2t + -2t Combine like terms: 4t + -2t = 2t -15 + 2t = 19 + 2t + -2t Combine like terms: 2t + -2t = 0 -15 + 2t = 19 + 0 -15 + 2t = 19 Add '15' to each side of the equation. -15 + 15 + 2t = 19 + 15 Combine like terms: -15 + 15 = 0 0 + 2t = 19 + 15 2t = 19 + 15 Combine like terms: 19 + 15 = 34 2t = 34 Divide each side by '2'. t = 17 Simplifying t = 17
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