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Simplifying 2 + 2t = 27 + -1(4 + -5t) 2 + 2t = 27 + (4 * -1 + -5t * -1) 2 + 2t = 27 + (-4 + 5t) Combine like terms: 27 + -4 = 23 2 + 2t = 23 + 5t Solving 2 + 2t = 23 + 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. 2 + 2t + -5t = 23 + 5t + -5t Combine like terms: 2t + -5t = -3t 2 + -3t = 23 + 5t + -5t Combine like terms: 5t + -5t = 0 2 + -3t = 23 + 0 2 + -3t = 23 Add '-2' to each side of the equation. 2 + -2 + -3t = 23 + -2 Combine like terms: 2 + -2 = 0 0 + -3t = 23 + -2 -3t = 23 + -2 Combine like terms: 23 + -2 = 21 -3t = 21 Divide each side by '-3'. t = -7 Simplifying t = -7
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