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Simplifying 42 + 3t = -4t + -14 Reorder the terms: 42 + 3t = -14 + -4t Solving 42 + 3t = -14 + -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. 42 + 3t + 4t = -14 + -4t + 4t Combine like terms: 3t + 4t = 7t 42 + 7t = -14 + -4t + 4t Combine like terms: -4t + 4t = 0 42 + 7t = -14 + 0 42 + 7t = -14 Add '-42' to each side of the equation. 42 + -42 + 7t = -14 + -42 Combine like terms: 42 + -42 = 0 0 + 7t = -14 + -42 7t = -14 + -42 Combine like terms: -14 + -42 = -56 7t = -56 Divide each side by '7'. t = -8 Simplifying t = -8
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