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Simplifying 3t + -12(3 + t) + -4t = (5t) + -1(7 + -1t) 3t + (3 * -12 + t * -12) + -4t = (5t) + -1(7 + -1t) 3t + (-36 + -12t) + -4t = (5t) + -1(7 + -1t) Reorder the terms: -36 + 3t + -12t + -4t = (5t) + -1(7 + -1t) Combine like terms: 3t + -12t = -9t -36 + -9t + -4t = (5t) + -1(7 + -1t) Combine like terms: -9t + -4t = -13t -36 + -13t = (5t) + -1(7 + -1t) -36 + -13t = (5t) + (7 * -1 + -1t * -1) -36 + -13t = (5t) + (-7 + 1t) Reorder the terms: -36 + -13t = -7 + (5t) + 1t Combine like terms: (5t) + 1t = 6t -36 + -13t = -7 + 6t Solving -36 + -13t = -7 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. -36 + -13t + -6t = -7 + 6t + -6t Combine like terms: -13t + -6t = -19t -36 + -19t = -7 + 6t + -6t Combine like terms: 6t + -6t = 0 -36 + -19t = -7 + 0 -36 + -19t = -7 Add '36' to each side of the equation. -36 + 36 + -19t = -7 + 36 Combine like terms: -36 + 36 = 0 0 + -19t = -7 + 36 -19t = -7 + 36 Combine like terms: -7 + 36 = 29 -19t = 29 Divide each side by '-19'. t = -1.526315789 Simplifying t = -1.526315789
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