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Simplifying 7t + -2(-3t + 1) = -3(1 + -3t) Reorder the terms: 7t + -2(1 + -3t) = -3(1 + -3t) 7t + (1 * -2 + -3t * -2) = -3(1 + -3t) 7t + (-2 + 6t) = -3(1 + -3t) Reorder the terms: -2 + 7t + 6t = -3(1 + -3t) Combine like terms: 7t + 6t = 13t -2 + 13t = -3(1 + -3t) -2 + 13t = (1 * -3 + -3t * -3) -2 + 13t = (-3 + 9t) Solving -2 + 13t = -3 + 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. -2 + 13t + -9t = -3 + 9t + -9t Combine like terms: 13t + -9t = 4t -2 + 4t = -3 + 9t + -9t Combine like terms: 9t + -9t = 0 -2 + 4t = -3 + 0 -2 + 4t = -3 Add '2' to each side of the equation. -2 + 2 + 4t = -3 + 2 Combine like terms: -2 + 2 = 0 0 + 4t = -3 + 2 4t = -3 + 2 Combine like terms: -3 + 2 = -1 4t = -1 Divide each side by '4'. t = -0.25 Simplifying t = -0.25
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