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Simplifying 5(t + -7) = 2(2t + 7) Reorder the terms: 5(-7 + t) = 2(2t + 7) (-7 * 5 + t * 5) = 2(2t + 7) (-35 + 5t) = 2(2t + 7) Reorder the terms: -35 + 5t = 2(7 + 2t) -35 + 5t = (7 * 2 + 2t * 2) -35 + 5t = (14 + 4t) Solving -35 + 5t = 14 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. -35 + 5t + -4t = 14 + 4t + -4t Combine like terms: 5t + -4t = 1t -35 + 1t = 14 + 4t + -4t Combine like terms: 4t + -4t = 0 -35 + 1t = 14 + 0 -35 + 1t = 14 Add '35' to each side of the equation. -35 + 35 + 1t = 14 + 35 Combine like terms: -35 + 35 = 0 0 + 1t = 14 + 35 1t = 14 + 35 Combine like terms: 14 + 35 = 49 1t = 49 Divide each side by '1'. t = 49 Simplifying t = 49
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