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Simplifying 7 = (t + -1) + -2(t + -3) Reorder the terms: 7 = (-1 + t) + -2(t + -3) Remove parenthesis around (-1 + t) 7 = -1 + t + -2(t + -3) Reorder the terms: 7 = -1 + t + -2(-3 + t) 7 = -1 + t + (-3 * -2 + t * -2) 7 = -1 + t + (6 + -2t) Reorder the terms: 7 = -1 + 6 + t + -2t Combine like terms: -1 + 6 = 5 7 = 5 + t + -2t Combine like terms: t + -2t = -1t 7 = 5 + -1t Solving 7 = 5 + -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. 7 + t = 5 + -1t + t Combine like terms: -1t + t = 0 7 + t = 5 + 0 7 + t = 5 Add '-7' to each side of the equation. 7 + -7 + t = 5 + -7 Combine like terms: 7 + -7 = 0 0 + t = 5 + -7 t = 5 + -7 Combine like terms: 5 + -7 = -2 t = -2 Simplifying t = -2
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