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Simplifying -3(4t + -2) + 2t = 5t + -5 Reorder the terms: -3(-2 + 4t) + 2t = 5t + -5 (-2 * -3 + 4t * -3) + 2t = 5t + -5 (6 + -12t) + 2t = 5t + -5 Combine like terms: -12t + 2t = -10t 6 + -10t = 5t + -5 Reorder the terms: 6 + -10t = -5 + 5t Solving 6 + -10t = -5 + 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. 6 + -10t + -5t = -5 + 5t + -5t Combine like terms: -10t + -5t = -15t 6 + -15t = -5 + 5t + -5t Combine like terms: 5t + -5t = 0 6 + -15t = -5 + 0 6 + -15t = -5 Add '-6' to each side of the equation. 6 + -6 + -15t = -5 + -6 Combine like terms: 6 + -6 = 0 0 + -15t = -5 + -6 -15t = -5 + -6 Combine like terms: -5 + -6 = -11 -15t = -11 Divide each side by '-15'. t = 0.7333333333 Simplifying t = 0.7333333333
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