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Simplifying (2t + -5 + 4v) + -1(-4t + 12) = 0 Reorder the terms: (-5 + 2t + 4v) + -1(-4t + 12) = 0 Remove parenthesis around (-5 + 2t + 4v) -5 + 2t + 4v + -1(-4t + 12) = 0 Reorder the terms: -5 + 2t + 4v + -1(12 + -4t) = 0 -5 + 2t + 4v + (12 * -1 + -4t * -1) = 0 -5 + 2t + 4v + (-12 + 4t) = 0 Reorder the terms: -5 + -12 + 2t + 4t + 4v = 0 Combine like terms: -5 + -12 = -17 -17 + 2t + 4t + 4v = 0 Combine like terms: 2t + 4t = 6t -17 + 6t + 4v = 0 Solving -17 + 6t + 4v = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 6t + 17 + 4v = 0 + 17 Reorder the terms: -17 + 17 + 6t + 4v = 0 + 17 Combine like terms: -17 + 17 = 0 0 + 6t + 4v = 0 + 17 6t + 4v = 0 + 17 Combine like terms: 0 + 17 = 17 6t + 4v = 17 Add '-4v' to each side of the equation. 6t + 4v + -4v = 17 + -4v Combine like terms: 4v + -4v = 0 6t + 0 = 17 + -4v 6t = 17 + -4v Divide each side by '6'. t = 2.833333333 + -0.6666666667v Simplifying t = 2.833333333 + -0.6666666667v
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