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Simplifying -3(t + 5) + 10 = 3(1 + -1t) + -2t Reorder the terms: -3(5 + t) + 10 = 3(1 + -1t) + -2t (5 * -3 + t * -3) + 10 = 3(1 + -1t) + -2t (-15 + -3t) + 10 = 3(1 + -1t) + -2t Reorder the terms: -15 + 10 + -3t = 3(1 + -1t) + -2t Combine like terms: -15 + 10 = -5 -5 + -3t = 3(1 + -1t) + -2t -5 + -3t = (1 * 3 + -1t * 3) + -2t -5 + -3t = (3 + -3t) + -2t Combine like terms: -3t + -2t = -5t -5 + -3t = 3 + -5t Solving -5 + -3t = 3 + -5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '5t' to each side of the equation. -5 + -3t + 5t = 3 + -5t + 5t Combine like terms: -3t + 5t = 2t -5 + 2t = 3 + -5t + 5t Combine like terms: -5t + 5t = 0 -5 + 2t = 3 + 0 -5 + 2t = 3 Add '5' to each side of the equation. -5 + 5 + 2t = 3 + 5 Combine like terms: -5 + 5 = 0 0 + 2t = 3 + 5 2t = 3 + 5 Combine like terms: 3 + 5 = 8 2t = 8 Divide each side by '2'. t = 4 Simplifying t = 4
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