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Simplifying 10(-3 + -2t) + 10 + -2(6t + -13) = 3 (-3 * 10 + -2t * 10) + 10 + -2(6t + -13) = 3 (-30 + -20t) + 10 + -2(6t + -13) = 3 Reorder the terms: -30 + -20t + 10 + -2(-13 + 6t) = 3 -30 + -20t + 10 + (-13 * -2 + 6t * -2) = 3 -30 + -20t + 10 + (26 + -12t) = 3 Reorder the terms: -30 + 10 + 26 + -20t + -12t = 3 Combine like terms: -30 + 10 = -20 -20 + 26 + -20t + -12t = 3 Combine like terms: -20 + 26 = 6 6 + -20t + -12t = 3 Combine like terms: -20t + -12t = -32t 6 + -32t = 3 Solving 6 + -32t = 3 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -32t = 3 + -6 Combine like terms: 6 + -6 = 0 0 + -32t = 3 + -6 -32t = 3 + -6 Combine like terms: 3 + -6 = -3 -32t = -3 Divide each side by '-32'. t = 0.09375 Simplifying t = 0.09375
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