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Simplifying 3(t + -5) + 4t + -7 = 7 + 10 Reorder the terms: 3(-5 + t) + 4t + -7 = 7 + 10 (-5 * 3 + t * 3) + 4t + -7 = 7 + 10 (-15 + 3t) + 4t + -7 = 7 + 10 Reorder the terms: -15 + -7 + 3t + 4t = 7 + 10 Combine like terms: -15 + -7 = -22 -22 + 3t + 4t = 7 + 10 Combine like terms: 3t + 4t = 7t -22 + 7t = 7 + 10 Combine like terms: 7 + 10 = 17 -22 + 7t = 17 Solving -22 + 7t = 17 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 7t = 17 + 22 Combine like terms: -22 + 22 = 0 0 + 7t = 17 + 22 7t = 17 + 22 Combine like terms: 17 + 22 = 39 7t = 39 Divide each side by '7'. t = 5.571428571 Simplifying t = 5.571428571
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