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Simplifying 5(t + -2) = 3t + 14 Reorder the terms: 5(-2 + t) = 3t + 14 (-2 * 5 + t * 5) = 3t + 14 (-10 + 5t) = 3t + 14 Reorder the terms: -10 + 5t = 14 + 3t Solving -10 + 5t = 14 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. -10 + 5t + -3t = 14 + 3t + -3t Combine like terms: 5t + -3t = 2t -10 + 2t = 14 + 3t + -3t Combine like terms: 3t + -3t = 0 -10 + 2t = 14 + 0 -10 + 2t = 14 Add '10' to each side of the equation. -10 + 10 + 2t = 14 + 10 Combine like terms: -10 + 10 = 0 0 + 2t = 14 + 10 2t = 14 + 10 Combine like terms: 14 + 10 = 24 2t = 24 Divide each side by '2'. t = 12 Simplifying t = 12
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