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Simplifying 4(3t + -6) + 7(t + -3) = 0 Reorder the terms: 4(-6 + 3t) + 7(t + -3) = 0 (-6 * 4 + 3t * 4) + 7(t + -3) = 0 (-24 + 12t) + 7(t + -3) = 0 Reorder the terms: -24 + 12t + 7(-3 + t) = 0 -24 + 12t + (-3 * 7 + t * 7) = 0 -24 + 12t + (-21 + 7t) = 0 Reorder the terms: -24 + -21 + 12t + 7t = 0 Combine like terms: -24 + -21 = -45 -45 + 12t + 7t = 0 Combine like terms: 12t + 7t = 19t -45 + 19t = 0 Solving -45 + 19t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 19t = 0 + 45 Combine like terms: -45 + 45 = 0 0 + 19t = 0 + 45 19t = 0 + 45 Combine like terms: 0 + 45 = 45 19t = 45 Divide each side by '19'. t = 2.368421053 Simplifying t = 2.368421053
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