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Simplifying 3(3t + -4) + -1(2t + 10) = 0 Reorder the terms: 3(-4 + 3t) + -1(2t + 10) = 0 (-4 * 3 + 3t * 3) + -1(2t + 10) = 0 (-12 + 9t) + -1(2t + 10) = 0 Reorder the terms: -12 + 9t + -1(10 + 2t) = 0 -12 + 9t + (10 * -1 + 2t * -1) = 0 -12 + 9t + (-10 + -2t) = 0 Reorder the terms: -12 + -10 + 9t + -2t = 0 Combine like terms: -12 + -10 = -22 -22 + 9t + -2t = 0 Combine like terms: 9t + -2t = 7t -22 + 7t = 0 Solving -22 + 7t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 7t = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 7t = 0 + 22 7t = 0 + 22 Combine like terms: 0 + 22 = 22 7t = 22 Divide each side by '7'. t = 3.142857143 Simplifying t = 3.142857143
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