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Simplifying 2(3t + -7) + -4t = 10 Reorder the terms: 2(-7 + 3t) + -4t = 10 (-7 * 2 + 3t * 2) + -4t = 10 (-14 + 6t) + -4t = 10 Combine like terms: 6t + -4t = 2t -14 + 2t = 10 Solving -14 + 2t = 10 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 2t = 10 + 14 Combine like terms: -14 + 14 = 0 0 + 2t = 10 + 14 2t = 10 + 14 Combine like terms: 10 + 14 = 24 2t = 24 Divide each side by '2'. t = 12 Simplifying t = 12
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