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Simplifying 2(t + -7) + -8 = 8 Reorder the terms: 2(-7 + t) + -8 = 8 (-7 * 2 + t * 2) + -8 = 8 (-14 + 2t) + -8 = 8 Reorder the terms: -14 + -8 + 2t = 8 Combine like terms: -14 + -8 = -22 -22 + 2t = 8 Solving -22 + 2t = 8 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 2t = 8 + 22 Combine like terms: -22 + 22 = 0 0 + 2t = 8 + 22 2t = 8 + 22 Combine like terms: 8 + 22 = 30 2t = 30 Divide each side by '2'. t = 15 Simplifying t = 15
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