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Simplifying 3(t + -5) + 4t + -7 = 8 + -9 Reorder the terms: 3(-5 + t) + 4t + -7 = 8 + -9 (-5 * 3 + t * 3) + 4t + -7 = 8 + -9 (-15 + 3t) + 4t + -7 = 8 + -9 Reorder the terms: -15 + -7 + 3t + 4t = 8 + -9 Combine like terms: -15 + -7 = -22 -22 + 3t + 4t = 8 + -9 Combine like terms: 3t + 4t = 7t -22 + 7t = 8 + -9 Combine like terms: 8 + -9 = -1 -22 + 7t = -1 Solving -22 + 7t = -1 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 = -1 + 22 Combine like terms: -22 + 22 = 0 0 + 7t = -1 + 22 7t = -1 + 22 Combine like terms: -1 + 22 = 21 7t = 21 Divide each side by '7'. t = 3 Simplifying t = 3
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