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Simplifying t + -1(4 + -1[t + -1(4 + t)]) = 6 t + -1(4 + -1[t + (4 * -1 + t * -1)]) = 6 t + -1(4 + -1[t + (-4 + -1t)]) = 6 Reorder the terms: t + -1(4 + -1[-4 + t + -1t]) = 6 Combine like terms: t + -1t = 0 t + -1(4 + -1[-4 + 0]) = 6 t + -1(4 + -1[-4]) = 6 Multiply -1 * -4 t + -1(4 + 4) = 6 Combine like terms: 4 + 4 = 8 t + -1(8) = 6 Multiply -1 * 8 t + -8 = 6 Reorder the terms: -8 + t = 6 Solving -8 + t = 6 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + t = 6 + 8 Combine like terms: -8 + 8 = 0 0 + t = 6 + 8 t = 6 + 8 Combine like terms: 6 + 8 = 14 t = 14 Simplifying t = 14
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