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Simplifying -4(3t + -4) + 2t = 6t + -9 Reorder the terms: -4(-4 + 3t) + 2t = 6t + -9 (-4 * -4 + 3t * -4) + 2t = 6t + -9 (16 + -12t) + 2t = 6t + -9 Combine like terms: -12t + 2t = -10t 16 + -10t = 6t + -9 Reorder the terms: 16 + -10t = -9 + 6t Solving 16 + -10t = -9 + 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. 16 + -10t + -6t = -9 + 6t + -6t Combine like terms: -10t + -6t = -16t 16 + -16t = -9 + 6t + -6t Combine like terms: 6t + -6t = 0 16 + -16t = -9 + 0 16 + -16t = -9 Add '-16' to each side of the equation. 16 + -16 + -16t = -9 + -16 Combine like terms: 16 + -16 = 0 0 + -16t = -9 + -16 -16t = -9 + -16 Combine like terms: -9 + -16 = -25 -16t = -25 Divide each side by '-16'. t = 1.5625 Simplifying t = 1.5625
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