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Simplifying 5(t + -2) + 3t = 12 Reorder the terms: 5(-2 + t) + 3t = 12 (-2 * 5 + t * 5) + 3t = 12 (-10 + 5t) + 3t = 12 Combine like terms: 5t + 3t = 8t -10 + 8t = 12 Solving -10 + 8t = 12 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 8t = 12 + 10 Combine like terms: -10 + 10 = 0 0 + 8t = 12 + 10 8t = 12 + 10 Combine like terms: 12 + 10 = 22 8t = 22 Divide each side by '8'. t = 2.75 Simplifying t = 2.75
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