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Simplifying 4 + 2t + -3 = 7t + 19 + -2t Reorder the terms: 4 + -3 + 2t = 7t + 19 + -2t Combine like terms: 4 + -3 = 1 1 + 2t = 7t + 19 + -2t Reorder the terms: 1 + 2t = 19 + 7t + -2t Combine like terms: 7t + -2t = 5t 1 + 2t = 19 + 5t Solving 1 + 2t = 19 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 1 + 2t + -5t = 19 + 5t + -5t Combine like terms: 2t + -5t = -3t 1 + -3t = 19 + 5t + -5t Combine like terms: 5t + -5t = 0 1 + -3t = 19 + 0 1 + -3t = 19 Add '-1' to each side of the equation. 1 + -1 + -3t = 19 + -1 Combine like terms: 1 + -1 = 0 0 + -3t = 19 + -1 -3t = 19 + -1 Combine like terms: 19 + -1 = 18 -3t = 18 Divide each side by '-3'. t = -6 Simplifying t = -6
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