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Simplifying 10 + -1(-3 + -2t) + 10 + -2(6t + -13) = 0 10 + (-3 * -1 + -2t * -1) + 10 + -2(6t + -13) = 0 10 + (3 + 2t) + 10 + -2(6t + -13) = 0 Reorder the terms: 10 + 3 + 2t + 10 + -2(-13 + 6t) = 0 10 + 3 + 2t + 10 + (-13 * -2 + 6t * -2) = 0 10 + 3 + 2t + 10 + (26 + -12t) = 0 Reorder the terms: 10 + 3 + 10 + 26 + 2t + -12t = 0 Combine like terms: 10 + 3 = 13 13 + 10 + 26 + 2t + -12t = 0 Combine like terms: 13 + 10 = 23 23 + 26 + 2t + -12t = 0 Combine like terms: 23 + 26 = 49 49 + 2t + -12t = 0 Combine like terms: 2t + -12t = -10t 49 + -10t = 0 Solving 49 + -10t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + -10t = 0 + -49 Combine like terms: 49 + -49 = 0 0 + -10t = 0 + -49 -10t = 0 + -49 Combine like terms: 0 + -49 = -49 -10t = -49 Divide each side by '-10'. t = 4.9 Simplifying t = 4.9
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