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Simplifying 2(3t + -2) = 3t + 5 Reorder the terms: 2(-2 + 3t) = 3t + 5 (-2 * 2 + 3t * 2) = 3t + 5 (-4 + 6t) = 3t + 5 Reorder the terms: -4 + 6t = 5 + 3t Solving -4 + 6t = 5 + 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. -4 + 6t + -3t = 5 + 3t + -3t Combine like terms: 6t + -3t = 3t -4 + 3t = 5 + 3t + -3t Combine like terms: 3t + -3t = 0 -4 + 3t = 5 + 0 -4 + 3t = 5 Add '4' to each side of the equation. -4 + 4 + 3t = 5 + 4 Combine like terms: -4 + 4 = 0 0 + 3t = 5 + 4 3t = 5 + 4 Combine like terms: 5 + 4 = 9 3t = 9 Divide each side by '3'. t = 3 Simplifying t = 3
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