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Simplifying 2 + 8(t + -2) = 5(t + 7) + 5 Reorder the terms: 2 + 8(-2 + t) = 5(t + 7) + 5 2 + (-2 * 8 + t * 8) = 5(t + 7) + 5 2 + (-16 + 8t) = 5(t + 7) + 5 Combine like terms: 2 + -16 = -14 -14 + 8t = 5(t + 7) + 5 Reorder the terms: -14 + 8t = 5(7 + t) + 5 -14 + 8t = (7 * 5 + t * 5) + 5 -14 + 8t = (35 + 5t) + 5 Reorder the terms: -14 + 8t = 35 + 5 + 5t Combine like terms: 35 + 5 = 40 -14 + 8t = 40 + 5t Solving -14 + 8t = 40 + 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. -14 + 8t + -5t = 40 + 5t + -5t Combine like terms: 8t + -5t = 3t -14 + 3t = 40 + 5t + -5t Combine like terms: 5t + -5t = 0 -14 + 3t = 40 + 0 -14 + 3t = 40 Add '14' to each side of the equation. -14 + 14 + 3t = 40 + 14 Combine like terms: -14 + 14 = 0 0 + 3t = 40 + 14 3t = 40 + 14 Combine like terms: 40 + 14 = 54 3t = 54 Divide each side by '3'. t = 18 Simplifying t = 18
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