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Simplifying 4 + 7(t + -8) = 5(t + 2) + 4 Reorder the terms: 4 + 7(-8 + t) = 5(t + 2) + 4 4 + (-8 * 7 + t * 7) = 5(t + 2) + 4 4 + (-56 + 7t) = 5(t + 2) + 4 Combine like terms: 4 + -56 = -52 -52 + 7t = 5(t + 2) + 4 Reorder the terms: -52 + 7t = 5(2 + t) + 4 -52 + 7t = (2 * 5 + t * 5) + 4 -52 + 7t = (10 + 5t) + 4 Reorder the terms: -52 + 7t = 10 + 4 + 5t Combine like terms: 10 + 4 = 14 -52 + 7t = 14 + 5t Solving -52 + 7t = 14 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. -52 + 7t + -5t = 14 + 5t + -5t Combine like terms: 7t + -5t = 2t -52 + 2t = 14 + 5t + -5t Combine like terms: 5t + -5t = 0 -52 + 2t = 14 + 0 -52 + 2t = 14 Add '52' to each side of the equation. -52 + 52 + 2t = 14 + 52 Combine like terms: -52 + 52 = 0 0 + 2t = 14 + 52 2t = 14 + 52 Combine like terms: 14 + 52 = 66 2t = 66 Divide each side by '2'. t = 33 Simplifying t = 33
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