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Simplifying 7(t + -3) + -2 = 15 + 5t Reorder the terms: 7(-3 + t) + -2 = 15 + 5t (-3 * 7 + t * 7) + -2 = 15 + 5t (-21 + 7t) + -2 = 15 + 5t Reorder the terms: -21 + -2 + 7t = 15 + 5t Combine like terms: -21 + -2 = -23 -23 + 7t = 15 + 5t Solving -23 + 7t = 15 + 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. -23 + 7t + -5t = 15 + 5t + -5t Combine like terms: 7t + -5t = 2t -23 + 2t = 15 + 5t + -5t Combine like terms: 5t + -5t = 0 -23 + 2t = 15 + 0 -23 + 2t = 15 Add '23' to each side of the equation. -23 + 23 + 2t = 15 + 23 Combine like terms: -23 + 23 = 0 0 + 2t = 15 + 23 2t = 15 + 23 Combine like terms: 15 + 23 = 38 2t = 38 Divide each side by '2'. t = 19 Simplifying t = 19
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