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Simplifying -3(4t + -4) + 2t = 2t + -7 Reorder the terms: -3(-4 + 4t) + 2t = 2t + -7 (-4 * -3 + 4t * -3) + 2t = 2t + -7 (12 + -12t) + 2t = 2t + -7 Combine like terms: -12t + 2t = -10t 12 + -10t = 2t + -7 Reorder the terms: 12 + -10t = -7 + 2t Solving 12 + -10t = -7 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. 12 + -10t + -2t = -7 + 2t + -2t Combine like terms: -10t + -2t = -12t 12 + -12t = -7 + 2t + -2t Combine like terms: 2t + -2t = 0 12 + -12t = -7 + 0 12 + -12t = -7 Add '-12' to each side of the equation. 12 + -12 + -12t = -7 + -12 Combine like terms: 12 + -12 = 0 0 + -12t = -7 + -12 -12t = -7 + -12 Combine like terms: -7 + -12 = -19 -12t = -19 Divide each side by '-12'. t = 1.583333333 Simplifying t = 1.583333333
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