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Simplifying 10(-3 + 2t) + 10 + -2(6t + -13) = 0 (-3 * 10 + 2t * 10) + 10 + -2(6t + -13) = 0 (-30 + 20t) + 10 + -2(6t + -13) = 0 Reorder the terms: -30 + 20t + 10 + -2(-13 + 6t) = 0 -30 + 20t + 10 + (-13 * -2 + 6t * -2) = 0 -30 + 20t + 10 + (26 + -12t) = 0 Reorder the terms: -30 + 10 + 26 + 20t + -12t = 0 Combine like terms: -30 + 10 = -20 -20 + 26 + 20t + -12t = 0 Combine like terms: -20 + 26 = 6 6 + 20t + -12t = 0 Combine like terms: 20t + -12t = 8t 6 + 8t = 0 Solving 6 + 8t = 0 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 + 8t = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 8t = 0 + -6 8t = 0 + -6 Combine like terms: 0 + -6 = -6 8t = -6 Divide each side by '8'. t = -0.75 Simplifying t = -0.75
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