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Simplifying -3(4t + -4) + 2t = 6t + -5 Reorder the terms: -3(-4 + 4t) + 2t = 6t + -5 (-4 * -3 + 4t * -3) + 2t = 6t + -5 (12 + -12t) + 2t = 6t + -5 Combine like terms: -12t + 2t = -10t 12 + -10t = 6t + -5 Reorder the terms: 12 + -10t = -5 + 6t Solving 12 + -10t = -5 + 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. 12 + -10t + -6t = -5 + 6t + -6t Combine like terms: -10t + -6t = -16t 12 + -16t = -5 + 6t + -6t Combine like terms: 6t + -6t = 0 12 + -16t = -5 + 0 12 + -16t = -5 Add '-12' to each side of the equation. 12 + -12 + -16t = -5 + -12 Combine like terms: 12 + -12 = 0 0 + -16t = -5 + -12 -16t = -5 + -12 Combine like terms: -5 + -12 = -17 -16t = -17 Divide each side by '-16'. t = 1.0625 Simplifying t = 1.0625
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