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Simplifying 5(t + -3) = 2t Reorder the terms: 5(-3 + t) = 2t (-3 * 5 + t * 5) = 2t (-15 + 5t) = 2t Solving -15 + 5t = 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. -15 + 5t + -2t = 2t + -2t Combine like terms: 5t + -2t = 3t -15 + 3t = 2t + -2t Combine like terms: 2t + -2t = 0 -15 + 3t = 0 Add '15' to each side of the equation. -15 + 15 + 3t = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 3t = 0 + 15 3t = 0 + 15 Combine like terms: 0 + 15 = 15 3t = 15 Divide each side by '3'. t = 5 Simplifying t = 5
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