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Simplifying 2 + 8(t + -7) = 5(t + 2) + 2 Reorder the terms: 2 + 8(-7 + t) = 5(t + 2) + 2 2 + (-7 * 8 + t * 8) = 5(t + 2) + 2 2 + (-56 + 8t) = 5(t + 2) + 2 Combine like terms: 2 + -56 = -54 -54 + 8t = 5(t + 2) + 2 Reorder the terms: -54 + 8t = 5(2 + t) + 2 -54 + 8t = (2 * 5 + t * 5) + 2 -54 + 8t = (10 + 5t) + 2 Reorder the terms: -54 + 8t = 10 + 2 + 5t Combine like terms: 10 + 2 = 12 -54 + 8t = 12 + 5t Solving -54 + 8t = 12 + 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. -54 + 8t + -5t = 12 + 5t + -5t Combine like terms: 8t + -5t = 3t -54 + 3t = 12 + 5t + -5t Combine like terms: 5t + -5t = 0 -54 + 3t = 12 + 0 -54 + 3t = 12 Add '54' to each side of the equation. -54 + 54 + 3t = 12 + 54 Combine like terms: -54 + 54 = 0 0 + 3t = 12 + 54 3t = 12 + 54 Combine like terms: 12 + 54 = 66 3t = 66 Divide each side by '3'. t = 22 Simplifying t = 22
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