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Simplifying 7(t + -2) = 2t + 1 Reorder the terms: 7(-2 + t) = 2t + 1 (-2 * 7 + t * 7) = 2t + 1 (-14 + 7t) = 2t + 1 Reorder the terms: -14 + 7t = 1 + 2t Solving -14 + 7t = 1 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. -14 + 7t + -2t = 1 + 2t + -2t Combine like terms: 7t + -2t = 5t -14 + 5t = 1 + 2t + -2t Combine like terms: 2t + -2t = 0 -14 + 5t = 1 + 0 -14 + 5t = 1 Add '14' to each side of the equation. -14 + 14 + 5t = 1 + 14 Combine like terms: -14 + 14 = 0 0 + 5t = 1 + 14 5t = 1 + 14 Combine like terms: 1 + 14 = 15 5t = 15 Divide each side by '5'. t = 3 Simplifying t = 3
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