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Simplifying -3(2t + -5) + 2 = 5t + -4 Reorder the terms: -3(-5 + 2t) + 2 = 5t + -4 (-5 * -3 + 2t * -3) + 2 = 5t + -4 (15 + -6t) + 2 = 5t + -4 Reorder the terms: 15 + 2 + -6t = 5t + -4 Combine like terms: 15 + 2 = 17 17 + -6t = 5t + -4 Reorder the terms: 17 + -6t = -4 + 5t Solving 17 + -6t = -4 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. 17 + -6t + -5t = -4 + 5t + -5t Combine like terms: -6t + -5t = -11t 17 + -11t = -4 + 5t + -5t Combine like terms: 5t + -5t = 0 17 + -11t = -4 + 0 17 + -11t = -4 Add '-17' to each side of the equation. 17 + -17 + -11t = -4 + -17 Combine like terms: 17 + -17 = 0 0 + -11t = -4 + -17 -11t = -4 + -17 Combine like terms: -4 + -17 = -21 -11t = -21 Divide each side by '-11'. t = 1.909090909 Simplifying t = 1.909090909
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