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Simplifying 3(2t + -1) = -7t + 1 Reorder the terms: 3(-1 + 2t) = -7t + 1 (-1 * 3 + 2t * 3) = -7t + 1 (-3 + 6t) = -7t + 1 Reorder the terms: -3 + 6t = 1 + -7t Solving -3 + 6t = 1 + -7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '7t' to each side of the equation. -3 + 6t + 7t = 1 + -7t + 7t Combine like terms: 6t + 7t = 13t -3 + 13t = 1 + -7t + 7t Combine like terms: -7t + 7t = 0 -3 + 13t = 1 + 0 -3 + 13t = 1 Add '3' to each side of the equation. -3 + 3 + 13t = 1 + 3 Combine like terms: -3 + 3 = 0 0 + 13t = 1 + 3 13t = 1 + 3 Combine like terms: 1 + 3 = 4 13t = 4 Divide each side by '13'. t = 0.3076923077 Simplifying t = 0.3076923077
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