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Simplifying 5 + 4(t + -8) = 2(t + 5) + 9 Reorder the terms: 5 + 4(-8 + t) = 2(t + 5) + 9 5 + (-8 * 4 + t * 4) = 2(t + 5) + 9 5 + (-32 + 4t) = 2(t + 5) + 9 Combine like terms: 5 + -32 = -27 -27 + 4t = 2(t + 5) + 9 Reorder the terms: -27 + 4t = 2(5 + t) + 9 -27 + 4t = (5 * 2 + t * 2) + 9 -27 + 4t = (10 + 2t) + 9 Reorder the terms: -27 + 4t = 10 + 9 + 2t Combine like terms: 10 + 9 = 19 -27 + 4t = 19 + 2t Solving -27 + 4t = 19 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. -27 + 4t + -2t = 19 + 2t + -2t Combine like terms: 4t + -2t = 2t -27 + 2t = 19 + 2t + -2t Combine like terms: 2t + -2t = 0 -27 + 2t = 19 + 0 -27 + 2t = 19 Add '27' to each side of the equation. -27 + 27 + 2t = 19 + 27 Combine like terms: -27 + 27 = 0 0 + 2t = 19 + 27 2t = 19 + 27 Combine like terms: 19 + 27 = 46 2t = 46 Divide each side by '2'. t = 23 Simplifying t = 23
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