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Simplifying (3 + 5t) + -7 = 2 + -1(4 + -1t) Remove parenthesis around (3 + 5t) 3 + 5t + -7 = 2 + -1(4 + -1t) Reorder the terms: 3 + -7 + 5t = 2 + -1(4 + -1t) Combine like terms: 3 + -7 = -4 -4 + 5t = 2 + -1(4 + -1t) -4 + 5t = 2 + (4 * -1 + -1t * -1) -4 + 5t = 2 + (-4 + 1t) Combine like terms: 2 + -4 = -2 -4 + 5t = -2 + 1t Solving -4 + 5t = -2 + 1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. -4 + 5t + -1t = -2 + 1t + -1t Combine like terms: 5t + -1t = 4t -4 + 4t = -2 + 1t + -1t Combine like terms: 1t + -1t = 0 -4 + 4t = -2 + 0 -4 + 4t = -2 Add '4' to each side of the equation. -4 + 4 + 4t = -2 + 4 Combine like terms: -4 + 4 = 0 0 + 4t = -2 + 4 4t = -2 + 4 Combine like terms: -2 + 4 = 2 4t = 2 Divide each side by '4'. t = 0.5 Simplifying t = 0.5
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