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Simplifying (4t + 7) = (2t + -55) Reorder the terms: (7 + 4t) = (2t + -55) Remove parenthesis around (7 + 4t) 7 + 4t = (2t + -55) Reorder the terms: 7 + 4t = (-55 + 2t) Remove parenthesis around (-55 + 2t) 7 + 4t = -55 + 2t Solving 7 + 4t = -55 + 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. 7 + 4t + -2t = -55 + 2t + -2t Combine like terms: 4t + -2t = 2t 7 + 2t = -55 + 2t + -2t Combine like terms: 2t + -2t = 0 7 + 2t = -55 + 0 7 + 2t = -55 Add '-7' to each side of the equation. 7 + -7 + 2t = -55 + -7 Combine like terms: 7 + -7 = 0 0 + 2t = -55 + -7 2t = -55 + -7 Combine like terms: -55 + -7 = -62 2t = -62 Divide each side by '2'. t = -31 Simplifying t = -31
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