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Simplifying -6t + -1[4 + -1(2 + -3t)] = 4(t + 1) -6t + -1[4 + (2 * -1 + -3t * -1)] = 4(t + 1) -6t + -1[4 + (-2 + 3t)] = 4(t + 1) Combine like terms: 4 + -2 = 2 -6t + -1[2 + 3t] = 4(t + 1) -6t + [2 * -1 + 3t * -1] = 4(t + 1) -6t + [-2 + -3t] = 4(t + 1) Reorder the terms: -2 + -6t + -3t = 4(t + 1) Combine like terms: -6t + -3t = -9t -2 + -9t = 4(t + 1) Reorder the terms: -2 + -9t = 4(1 + t) -2 + -9t = (1 * 4 + t * 4) -2 + -9t = (4 + 4t) Solving -2 + -9t = 4 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. -2 + -9t + -4t = 4 + 4t + -4t Combine like terms: -9t + -4t = -13t -2 + -13t = 4 + 4t + -4t Combine like terms: 4t + -4t = 0 -2 + -13t = 4 + 0 -2 + -13t = 4 Add '2' to each side of the equation. -2 + 2 + -13t = 4 + 2 Combine like terms: -2 + 2 = 0 0 + -13t = 4 + 2 -13t = 4 + 2 Combine like terms: 4 + 2 = 6 -13t = 6 Divide each side by '-13'. t = -0.4615384615 Simplifying t = -0.4615384615
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