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Simplifying -3(t + -6) + -1(t + 1) = 2 Reorder the terms: -3(-6 + t) + -1(t + 1) = 2 (-6 * -3 + t * -3) + -1(t + 1) = 2 (18 + -3t) + -1(t + 1) = 2 Reorder the terms: 18 + -3t + -1(1 + t) = 2 18 + -3t + (1 * -1 + t * -1) = 2 18 + -3t + (-1 + -1t) = 2 Reorder the terms: 18 + -1 + -3t + -1t = 2 Combine like terms: 18 + -1 = 17 17 + -3t + -1t = 2 Combine like terms: -3t + -1t = -4t 17 + -4t = 2 Solving 17 + -4t = 2 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -4t = 2 + -17 Combine like terms: 17 + -17 = 0 0 + -4t = 2 + -17 -4t = 2 + -17 Combine like terms: 2 + -17 = -15 -4t = -15 Divide each side by '-4'. t = 3.75 Simplifying t = 3.75
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