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Simplifying 3 + 3(2t + -3) + -3(4t + 4) + -8 = 0 Reorder the terms: 3 + 3(-3 + 2t) + -3(4t + 4) + -8 = 0 3 + (-3 * 3 + 2t * 3) + -3(4t + 4) + -8 = 0 3 + (-9 + 6t) + -3(4t + 4) + -8 = 0 Reorder the terms: 3 + -9 + 6t + -3(4 + 4t) + -8 = 0 3 + -9 + 6t + (4 * -3 + 4t * -3) + -8 = 0 3 + -9 + 6t + (-12 + -12t) + -8 = 0 Reorder the terms: 3 + -9 + -12 + -8 + 6t + -12t = 0 Combine like terms: 3 + -9 = -6 -6 + -12 + -8 + 6t + -12t = 0 Combine like terms: -6 + -12 = -18 -18 + -8 + 6t + -12t = 0 Combine like terms: -18 + -8 = -26 -26 + 6t + -12t = 0 Combine like terms: 6t + -12t = -6t -26 + -6t = 0 Solving -26 + -6t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '26' to each side of the equation. -26 + 26 + -6t = 0 + 26 Combine like terms: -26 + 26 = 0 0 + -6t = 0 + 26 -6t = 0 + 26 Combine like terms: 0 + 26 = 26 -6t = 26 Divide each side by '-6'. t = -4.333333333 Simplifying t = -4.333333333
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