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Simplifying 4t + -1 = -3(3t + -4) Reorder the terms: -1 + 4t = -3(3t + -4) Reorder the terms: -1 + 4t = -3(-4 + 3t) -1 + 4t = (-4 * -3 + 3t * -3) -1 + 4t = (12 + -9t) Solving -1 + 4t = 12 + -9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '9t' to each side of the equation. -1 + 4t + 9t = 12 + -9t + 9t Combine like terms: 4t + 9t = 13t -1 + 13t = 12 + -9t + 9t Combine like terms: -9t + 9t = 0 -1 + 13t = 12 + 0 -1 + 13t = 12 Add '1' to each side of the equation. -1 + 1 + 13t = 12 + 1 Combine like terms: -1 + 1 = 0 0 + 13t = 12 + 1 13t = 12 + 1 Combine like terms: 12 + 1 = 13 13t = 13 Divide each side by '13'. t = 1 Simplifying t = 1
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