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Simplifying 4(3t + -9) + 55 = 16t + 20 Reorder the terms: 4(-9 + 3t) + 55 = 16t + 20 (-9 * 4 + 3t * 4) + 55 = 16t + 20 (-36 + 12t) + 55 = 16t + 20 Reorder the terms: -36 + 55 + 12t = 16t + 20 Combine like terms: -36 + 55 = 19 19 + 12t = 16t + 20 Reorder the terms: 19 + 12t = 20 + 16t Solving 19 + 12t = 20 + 16t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-16t' to each side of the equation. 19 + 12t + -16t = 20 + 16t + -16t Combine like terms: 12t + -16t = -4t 19 + -4t = 20 + 16t + -16t Combine like terms: 16t + -16t = 0 19 + -4t = 20 + 0 19 + -4t = 20 Add '-19' to each side of the equation. 19 + -19 + -4t = 20 + -19 Combine like terms: 19 + -19 = 0 0 + -4t = 20 + -19 -4t = 20 + -19 Combine like terms: 20 + -19 = 1 -4t = 1 Divide each side by '-4'. t = -0.25 Simplifying t = -0.25
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