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Simplifying 3(t + -4) + -8(2 + -3) * t = 0 Reorder the terms: 3(-4 + t) + -8(2 + -3) * t = 0 (-4 * 3 + t * 3) + -8(2 + -3) * t = 0 (-12 + 3t) + -8(2 + -3) * t = 0 Combine like terms: 2 + -3 = -1 -12 + 3t + -8(-1) * t = 0 Multiply -8 * -1 -12 + 3t + 8t = 0 Combine like terms: 3t + 8t = 11t -12 + 11t = 0 Solving -12 + 11t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 11t = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 11t = 0 + 12 11t = 0 + 12 Combine like terms: 0 + 12 = 12 11t = 12 Divide each side by '11'. t = 1.090909091 Simplifying t = 1.090909091
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