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Simplifying 5(5 + -1t) + -1(4 + -3t) = 12 (5 * 5 + -1t * 5) + -1(4 + -3t) = 12 (25 + -5t) + -1(4 + -3t) = 12 25 + -5t + (4 * -1 + -3t * -1) = 12 25 + -5t + (-4 + 3t) = 12 Reorder the terms: 25 + -4 + -5t + 3t = 12 Combine like terms: 25 + -4 = 21 21 + -5t + 3t = 12 Combine like terms: -5t + 3t = -2t 21 + -2t = 12 Solving 21 + -2t = 12 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -2t = 12 + -21 Combine like terms: 21 + -21 = 0 0 + -2t = 12 + -21 -2t = 12 + -21 Combine like terms: 12 + -21 = -9 -2t = -9 Divide each side by '-2'. t = 4.5 Simplifying t = 4.5
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