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Simplifying 2t + 7 + -6t + 12 = 4t + 5 + -7t + -1 Reorder the terms: 7 + 12 + 2t + -6t = 4t + 5 + -7t + -1 Combine like terms: 7 + 12 = 19 19 + 2t + -6t = 4t + 5 + -7t + -1 Combine like terms: 2t + -6t = -4t 19 + -4t = 4t + 5 + -7t + -1 Reorder the terms: 19 + -4t = 5 + -1 + 4t + -7t Combine like terms: 5 + -1 = 4 19 + -4t = 4 + 4t + -7t Combine like terms: 4t + -7t = -3t 19 + -4t = 4 + -3t Solving 19 + -4t = 4 + -3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3t' to each side of the equation. 19 + -4t + 3t = 4 + -3t + 3t Combine like terms: -4t + 3t = -1t 19 + -1t = 4 + -3t + 3t Combine like terms: -3t + 3t = 0 19 + -1t = 4 + 0 19 + -1t = 4 Add '-19' to each side of the equation. 19 + -19 + -1t = 4 + -19 Combine like terms: 19 + -19 = 0 0 + -1t = 4 + -19 -1t = 4 + -19 Combine like terms: 4 + -19 = -15 -1t = -15 Divide each side by '-1'. t = 15 Simplifying t = 15
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