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Simplifying (7t + -5) = 2(t + -1) + 2 Reorder the terms: (-5 + 7t) = 2(t + -1) + 2 Remove parenthesis around (-5 + 7t) -5 + 7t = 2(t + -1) + 2 Reorder the terms: -5 + 7t = 2(-1 + t) + 2 -5 + 7t = (-1 * 2 + t * 2) + 2 -5 + 7t = (-2 + 2t) + 2 Reorder the terms: -5 + 7t = -2 + 2 + 2t Combine like terms: -2 + 2 = 0 -5 + 7t = 0 + 2t -5 + 7t = 2t Solving -5 + 7t = 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. -5 + 7t + -2t = 2t + -2t Combine like terms: 7t + -2t = 5t -5 + 5t = 2t + -2t Combine like terms: 2t + -2t = 0 -5 + 5t = 0 Add '5' to each side of the equation. -5 + 5 + 5t = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 5t = 0 + 5 5t = 0 + 5 Combine like terms: 0 + 5 = 5 5t = 5 Divide each side by '5'. t = 1 Simplifying t = 1
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