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Simplifying 3(2t + -1) + 7 = 5t + 9 Reorder the terms: 3(-1 + 2t) + 7 = 5t + 9 (-1 * 3 + 2t * 3) + 7 = 5t + 9 (-3 + 6t) + 7 = 5t + 9 Reorder the terms: -3 + 7 + 6t = 5t + 9 Combine like terms: -3 + 7 = 4 4 + 6t = 5t + 9 Reorder the terms: 4 + 6t = 9 + 5t Solving 4 + 6t = 9 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 4 + 6t + -5t = 9 + 5t + -5t Combine like terms: 6t + -5t = 1t 4 + 1t = 9 + 5t + -5t Combine like terms: 5t + -5t = 0 4 + 1t = 9 + 0 4 + 1t = 9 Add '-4' to each side of the equation. 4 + -4 + 1t = 9 + -4 Combine like terms: 4 + -4 = 0 0 + 1t = 9 + -4 1t = 9 + -4 Combine like terms: 9 + -4 = 5 1t = 5 Divide each side by '1'. t = 5 Simplifying t = 5
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