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Simplifying -3(2t + 4) + 8(2t + -4) = 0 Reorder the terms: -3(4 + 2t) + 8(2t + -4) = 0 (4 * -3 + 2t * -3) + 8(2t + -4) = 0 (-12 + -6t) + 8(2t + -4) = 0 Reorder the terms: -12 + -6t + 8(-4 + 2t) = 0 -12 + -6t + (-4 * 8 + 2t * 8) = 0 -12 + -6t + (-32 + 16t) = 0 Reorder the terms: -12 + -32 + -6t + 16t = 0 Combine like terms: -12 + -32 = -44 -44 + -6t + 16t = 0 Combine like terms: -6t + 16t = 10t -44 + 10t = 0 Solving -44 + 10t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + 10t = 0 + 44 Combine like terms: -44 + 44 = 0 0 + 10t = 0 + 44 10t = 0 + 44 Combine like terms: 0 + 44 = 44 10t = 44 Divide each side by '10'. t = 4.4 Simplifying t = 4.4
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