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Simplifying 4 + 9(t + -5) = 7(t + 5) + 8 Reorder the terms: 4 + 9(-5 + t) = 7(t + 5) + 8 4 + (-5 * 9 + t * 9) = 7(t + 5) + 8 4 + (-45 + 9t) = 7(t + 5) + 8 Combine like terms: 4 + -45 = -41 -41 + 9t = 7(t + 5) + 8 Reorder the terms: -41 + 9t = 7(5 + t) + 8 -41 + 9t = (5 * 7 + t * 7) + 8 -41 + 9t = (35 + 7t) + 8 Reorder the terms: -41 + 9t = 35 + 8 + 7t Combine like terms: 35 + 8 = 43 -41 + 9t = 43 + 7t Solving -41 + 9t = 43 + 7t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-7t' to each side of the equation. -41 + 9t + -7t = 43 + 7t + -7t Combine like terms: 9t + -7t = 2t -41 + 2t = 43 + 7t + -7t Combine like terms: 7t + -7t = 0 -41 + 2t = 43 + 0 -41 + 2t = 43 Add '41' to each side of the equation. -41 + 41 + 2t = 43 + 41 Combine like terms: -41 + 41 = 0 0 + 2t = 43 + 41 2t = 43 + 41 Combine like terms: 43 + 41 = 84 2t = 84 Divide each side by '2'. t = 42 Simplifying t = 42
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