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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 = -1t -3 + -1t = -1 + 7t + -7t Combine like terms: 7t + -7t = 0 -3 + -1t = -1 + 0 -3 + -1t = -1 Add '3' to each side of the equation. -3 + 3 + -1t = -1 + 3 Combine like terms: -3 + 3 = 0 0 + -1t = -1 + 3 -1t = -1 + 3 Combine like terms: -1 + 3 = 2 -1t = 2 Divide each side by '-1'. t = -2 Simplifying t = -2
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