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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 = -32t 6 + -32t = 0 Solving 6 + -32t = 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 + -32t = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -32t = 0 + -6 -32t = 0 + -6 Combine like terms: 0 + -6 = -6 -32t = -6 Divide each side by '-32'. t = 0.1875 Simplifying t = 0.1875
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