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Simplifying 2(3t + -5) = 3t + 15 Reorder the terms: 2(-5 + 3t) = 3t + 15 (-5 * 2 + 3t * 2) = 3t + 15 (-10 + 6t) = 3t + 15 Reorder the terms: -10 + 6t = 15 + 3t Solving -10 + 6t = 15 + 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 + 6t + -3t = 15 + 3t + -3t Combine like terms: 6t + -3t = 3t -10 + 3t = 15 + 3t + -3t Combine like terms: 3t + -3t = 0 -10 + 3t = 15 + 0 -10 + 3t = 15 Add '10' to each side of the equation. -10 + 10 + 3t = 15 + 10 Combine like terms: -10 + 10 = 0 0 + 3t = 15 + 10 3t = 15 + 10 Combine like terms: 15 + 10 = 25 3t = 25 Divide each side by '3'. t = 8.333333333 Simplifying t = 8.333333333
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