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Simplifying 4 + 3(2t + -4) + -3(4t + 2) + -8 = 0 Reorder the terms: 4 + 3(-4 + 2t) + -3(4t + 2) + -8 = 0 4 + (-4 * 3 + 2t * 3) + -3(4t + 2) + -8 = 0 4 + (-12 + 6t) + -3(4t + 2) + -8 = 0 Reorder the terms: 4 + -12 + 6t + -3(2 + 4t) + -8 = 0 4 + -12 + 6t + (2 * -3 + 4t * -3) + -8 = 0 4 + -12 + 6t + (-6 + -12t) + -8 = 0 Reorder the terms: 4 + -12 + -6 + -8 + 6t + -12t = 0 Combine like terms: 4 + -12 = -8 -8 + -6 + -8 + 6t + -12t = 0 Combine like terms: -8 + -6 = -14 -14 + -8 + 6t + -12t = 0 Combine like terms: -14 + -8 = -22 -22 + 6t + -12t = 0 Combine like terms: 6t + -12t = -6t -22 + -6t = 0 Solving -22 + -6t = 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 + -6t = 0 + 22 Combine like terms: -22 + 22 = 0 0 + -6t = 0 + 22 -6t = 0 + 22 Combine like terms: 0 + 22 = 22 -6t = 22 Divide each side by '-6'. t = -3.666666667 Simplifying t = -3.666666667
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