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Simplifying -5(t + -3) + -1(t + 1) = 2 Reorder the terms: -5(-3 + t) + -1(t + 1) = 2 (-3 * -5 + t * -5) + -1(t + 1) = 2 (15 + -5t) + -1(t + 1) = 2 Reorder the terms: 15 + -5t + -1(1 + t) = 2 15 + -5t + (1 * -1 + t * -1) = 2 15 + -5t + (-1 + -1t) = 2 Reorder the terms: 15 + -1 + -5t + -1t = 2 Combine like terms: 15 + -1 = 14 14 + -5t + -1t = 2 Combine like terms: -5t + -1t = -6t 14 + -6t = 2 Solving 14 + -6t = 2 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -6t = 2 + -14 Combine like terms: 14 + -14 = 0 0 + -6t = 2 + -14 -6t = 2 + -14 Combine like terms: 2 + -14 = -12 -6t = -12 Divide each side by '-6'. t = 2 Simplifying t = 2
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