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Simplifying 5(3 + -1t) + -1(3 + -3t) = 3 (3 * 5 + -1t * 5) + -1(3 + -3t) = 3 (15 + -5t) + -1(3 + -3t) = 3 15 + -5t + (3 * -1 + -3t * -1) = 3 15 + -5t + (-3 + 3t) = 3 Reorder the terms: 15 + -3 + -5t + 3t = 3 Combine like terms: 15 + -3 = 12 12 + -5t + 3t = 3 Combine like terms: -5t + 3t = -2t 12 + -2t = 3 Solving 12 + -2t = 3 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -2t = 3 + -12 Combine like terms: 12 + -12 = 0 0 + -2t = 3 + -12 -2t = 3 + -12 Combine like terms: 3 + -12 = -9 -2t = -9 Divide each side by '-2'. t = 4.5 Simplifying t = 4.5
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