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Simplifying 6 + 19t + -4 = 9t + 155 + -7t Reorder the terms: 6 + -4 + 19t = 9t + 155 + -7t Combine like terms: 6 + -4 = 2 2 + 19t = 9t + 155 + -7t Reorder the terms: 2 + 19t = 155 + 9t + -7t Combine like terms: 9t + -7t = 2t 2 + 19t = 155 + 2t Solving 2 + 19t = 155 + 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. 2 + 19t + -2t = 155 + 2t + -2t Combine like terms: 19t + -2t = 17t 2 + 17t = 155 + 2t + -2t Combine like terms: 2t + -2t = 0 2 + 17t = 155 + 0 2 + 17t = 155 Add '-2' to each side of the equation. 2 + -2 + 17t = 155 + -2 Combine like terms: 2 + -2 = 0 0 + 17t = 155 + -2 17t = 155 + -2 Combine like terms: 155 + -2 = 153 17t = 153 Divide each side by '17'. t = 9 Simplifying t = 9
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