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Simplifying 5(t + -3) = 4(t + 2) + -1t Reorder the terms: 5(-3 + t) = 4(t + 2) + -1t (-3 * 5 + t * 5) = 4(t + 2) + -1t (-15 + 5t) = 4(t + 2) + -1t Reorder the terms: -15 + 5t = 4(2 + t) + -1t -15 + 5t = (2 * 4 + t * 4) + -1t -15 + 5t = (8 + 4t) + -1t Combine like terms: 4t + -1t = 3t -15 + 5t = 8 + 3t Solving -15 + 5t = 8 + 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. -15 + 5t + -3t = 8 + 3t + -3t Combine like terms: 5t + -3t = 2t -15 + 2t = 8 + 3t + -3t Combine like terms: 3t + -3t = 0 -15 + 2t = 8 + 0 -15 + 2t = 8 Add '15' to each side of the equation. -15 + 15 + 2t = 8 + 15 Combine like terms: -15 + 15 = 0 0 + 2t = 8 + 15 2t = 8 + 15 Combine like terms: 8 + 15 = 23 2t = 23 Divide each side by '2'. t = 11.5 Simplifying t = 11.5
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