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Simplifying 3t + -12(3 + t) + -4t = -1(5 + -1t) + -1(7 + -1t) 3t + (3 * -12 + t * -12) + -4t = -1(5 + -1t) + -1(7 + -1t) 3t + (-36 + -12t) + -4t = -1(5 + -1t) + -1(7 + -1t) Reorder the terms: -36 + 3t + -12t + -4t = -1(5 + -1t) + -1(7 + -1t) Combine like terms: 3t + -12t = -9t -36 + -9t + -4t = -1(5 + -1t) + -1(7 + -1t) Combine like terms: -9t + -4t = -13t -36 + -13t = -1(5 + -1t) + -1(7 + -1t) -36 + -13t = (5 * -1 + -1t * -1) + -1(7 + -1t) -36 + -13t = (-5 + 1t) + -1(7 + -1t) -36 + -13t = -5 + 1t + (7 * -1 + -1t * -1) -36 + -13t = -5 + 1t + (-7 + 1t) Reorder the terms: -36 + -13t = -5 + -7 + 1t + 1t Combine like terms: -5 + -7 = -12 -36 + -13t = -12 + 1t + 1t Combine like terms: 1t + 1t = 2t -36 + -13t = -12 + 2t Solving -36 + -13t = -12 + 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. -36 + -13t + -2t = -12 + 2t + -2t Combine like terms: -13t + -2t = -15t -36 + -15t = -12 + 2t + -2t Combine like terms: 2t + -2t = 0 -36 + -15t = -12 + 0 -36 + -15t = -12 Add '36' to each side of the equation. -36 + 36 + -15t = -12 + 36 Combine like terms: -36 + 36 = 0 0 + -15t = -12 + 36 -15t = -12 + 36 Combine like terms: -12 + 36 = 24 -15t = 24 Divide each side by '-15'. t = -1.6 Simplifying t = -1.6
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