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Simplifying 42 = 8t + 14 + -6t Reorder the terms: 42 = 14 + 8t + -6t Combine like terms: 8t + -6t = 2t 42 = 14 + 2t Solving 42 = 14 + 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. 42 + -2t = 14 + 2t + -2t Combine like terms: 2t + -2t = 0 42 + -2t = 14 + 0 42 + -2t = 14 Add '-42' to each side of the equation. 42 + -42 + -2t = 14 + -42 Combine like terms: 42 + -42 = 0 0 + -2t = 14 + -42 -2t = 14 + -42 Combine like terms: 14 + -42 = -28 -2t = -28 Divide each side by '-2'. t = 14 Simplifying t = 14
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