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Simplifying -14t + 3(4t + 2) = 4t + -7t + 19 Reorder the terms: -14t + 3(2 + 4t) = 4t + -7t + 19 -14t + (2 * 3 + 4t * 3) = 4t + -7t + 19 -14t + (6 + 12t) = 4t + -7t + 19 Reorder the terms: 6 + -14t + 12t = 4t + -7t + 19 Combine like terms: -14t + 12t = -2t 6 + -2t = 4t + -7t + 19 Reorder the terms: 6 + -2t = 19 + 4t + -7t Combine like terms: 4t + -7t = -3t 6 + -2t = 19 + -3t Solving 6 + -2t = 19 + -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. 6 + -2t + 3t = 19 + -3t + 3t Combine like terms: -2t + 3t = 1t 6 + 1t = 19 + -3t + 3t Combine like terms: -3t + 3t = 0 6 + 1t = 19 + 0 6 + 1t = 19 Add '-6' to each side of the equation. 6 + -6 + 1t = 19 + -6 Combine like terms: 6 + -6 = 0 0 + 1t = 19 + -6 1t = 19 + -6 Combine like terms: 19 + -6 = 13 1t = 13 Divide each side by '1'. t = 13 Simplifying t = 13
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