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Simplifying -6(3t + 6) + -3(6t + -3) = 0 Reorder the terms: -6(6 + 3t) + -3(6t + -3) = 0 (6 * -6 + 3t * -6) + -3(6t + -3) = 0 (-36 + -18t) + -3(6t + -3) = 0 Reorder the terms: -36 + -18t + -3(-3 + 6t) = 0 -36 + -18t + (-3 * -3 + 6t * -3) = 0 -36 + -18t + (9 + -18t) = 0 Reorder the terms: -36 + 9 + -18t + -18t = 0 Combine like terms: -36 + 9 = -27 -27 + -18t + -18t = 0 Combine like terms: -18t + -18t = -36t -27 + -36t = 0 Solving -27 + -36t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + -36t = 0 + 27 Combine like terms: -27 + 27 = 0 0 + -36t = 0 + 27 -36t = 0 + 27 Combine like terms: 0 + 27 = 27 -36t = 27 Divide each side by '-36'. t = -0.75 Simplifying t = -0.75
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