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Simplifying 10(3 + -2t) * 10 + -2(6t + -13) = 0 Reorder the terms for easier multiplication: 10 * 10(3 + -2t) + -2(6t + -13) = 0 Multiply 10 * 10 100(3 + -2t) + -2(6t + -13) = 0 (3 * 100 + -2t * 100) + -2(6t + -13) = 0 (300 + -200t) + -2(6t + -13) = 0 Reorder the terms: 300 + -200t + -2(-13 + 6t) = 0 300 + -200t + (-13 * -2 + 6t * -2) = 0 300 + -200t + (26 + -12t) = 0 Reorder the terms: 300 + 26 + -200t + -12t = 0 Combine like terms: 300 + 26 = 326 326 + -200t + -12t = 0 Combine like terms: -200t + -12t = -212t 326 + -212t = 0 Solving 326 + -212t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-326' to each side of the equation. 326 + -326 + -212t = 0 + -326 Combine like terms: 326 + -326 = 0 0 + -212t = 0 + -326 -212t = 0 + -326 Combine like terms: 0 + -326 = -326 -212t = -326 Divide each side by '-212'. t = 1.537735849 Simplifying t = 1.537735849
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