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Simplifying 2t + 5(t + -3) + 7 = 0 Reorder the terms: 2t + 5(-3 + t) + 7 = 0 2t + (-3 * 5 + t * 5) + 7 = 0 2t + (-15 + 5t) + 7 = 0 Reorder the terms: -15 + 7 + 2t + 5t = 0 Combine like terms: -15 + 7 = -8 -8 + 2t + 5t = 0 Combine like terms: 2t + 5t = 7t -8 + 7t = 0 Solving -8 + 7t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 7t = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 7t = 0 + 8 7t = 0 + 8 Combine like terms: 0 + 8 = 8 7t = 8 Divide each side by '7'. t = 1.142857143 Simplifying t = 1.142857143
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