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Simplifying 2(3t + -4) = 10 + 7 Reorder the terms: 2(-4 + 3t) = 10 + 7 (-4 * 2 + 3t * 2) = 10 + 7 (-8 + 6t) = 10 + 7 Combine like terms: 10 + 7 = 17 -8 + 6t = 17 Solving -8 + 6t = 17 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 6t = 17 + 8 Combine like terms: -8 + 8 = 0 0 + 6t = 17 + 8 6t = 17 + 8 Combine like terms: 17 + 8 = 25 6t = 25 Divide each side by '6'. t = 4.166666667 Simplifying t = 4.166666667
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