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Simplifying 2(7t + -7) = -62 + -2t Reorder the terms: 2(-7 + 7t) = -62 + -2t (-7 * 2 + 7t * 2) = -62 + -2t (-14 + 14t) = -62 + -2t Solving -14 + 14t = -62 + -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. -14 + 14t + 2t = -62 + -2t + 2t Combine like terms: 14t + 2t = 16t -14 + 16t = -62 + -2t + 2t Combine like terms: -2t + 2t = 0 -14 + 16t = -62 + 0 -14 + 16t = -62 Add '14' to each side of the equation. -14 + 14 + 16t = -62 + 14 Combine like terms: -14 + 14 = 0 0 + 16t = -62 + 14 16t = -62 + 14 Combine like terms: -62 + 14 = -48 16t = -48 Divide each side by '16'. t = -3 Simplifying t = -3
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