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Simplifying 7t + -5(t + 2) + 15 = -3t Reorder the terms: 7t + -5(2 + t) + 15 = -3t 7t + (2 * -5 + t * -5) + 15 = -3t 7t + (-10 + -5t) + 15 = -3t Reorder the terms: -10 + 15 + 7t + -5t = -3t Combine like terms: -10 + 15 = 5 5 + 7t + -5t = -3t Combine like terms: 7t + -5t = 2t 5 + 2t = -3t Solving 5 + 2t = -3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3t' to each side of the equation. 5 + 2t + 3t = -3t + 3t Combine like terms: 2t + 3t = 5t 5 + 5t = -3t + 3t Combine like terms: -3t + 3t = 0 5 + 5t = 0 Add '-5' to each side of the equation. 5 + -5 + 5t = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 5t = 0 + -5 5t = 0 + -5 Combine like terms: 0 + -5 = -5 5t = -5 Divide each side by '5'. t = -1 Simplifying t = -1
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