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Simplifying 4 + 2t + -3 = 8t + 19 + -4t Reorder the terms: 4 + -3 + 2t = 8t + 19 + -4t Combine like terms: 4 + -3 = 1 1 + 2t = 8t + 19 + -4t Reorder the terms: 1 + 2t = 19 + 8t + -4t Combine like terms: 8t + -4t = 4t 1 + 2t = 19 + 4t Solving 1 + 2t = 19 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 1 + 2t + -4t = 19 + 4t + -4t Combine like terms: 2t + -4t = -2t 1 + -2t = 19 + 4t + -4t Combine like terms: 4t + -4t = 0 1 + -2t = 19 + 0 1 + -2t = 19 Add '-1' to each side of the equation. 1 + -1 + -2t = 19 + -1 Combine like terms: 1 + -1 = 0 0 + -2t = 19 + -1 -2t = 19 + -1 Combine like terms: 19 + -1 = 18 -2t = 18 Divide each side by '-2'. t = -9 Simplifying t = -9
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