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Simplifying 7t + -2 + -3t + 1 = 3(1 + -3t) Reorder the terms: -2 + 1 + 7t + -3t = 3(1 + -3t) Combine like terms: -2 + 1 = -1 -1 + 7t + -3t = 3(1 + -3t) Combine like terms: 7t + -3t = 4t -1 + 4t = 3(1 + -3t) -1 + 4t = (1 * 3 + -3t * 3) -1 + 4t = (3 + -9t) Solving -1 + 4t = 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. -1 + 4t + 9t = 3 + -9t + 9t Combine like terms: 4t + 9t = 13t -1 + 13t = 3 + -9t + 9t Combine like terms: -9t + 9t = 0 -1 + 13t = 3 + 0 -1 + 13t = 3 Add '1' to each side of the equation. -1 + 1 + 13t = 3 + 1 Combine like terms: -1 + 1 = 0 0 + 13t = 3 + 1 13t = 3 + 1 Combine like terms: 3 + 1 = 4 13t = 4 Divide each side by '13'. t = 0.3076923077 Simplifying t = 0.3076923077
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