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Simplifying -4(3t + -4) + 7t = 4t + -9 Reorder the terms: -4(-4 + 3t) + 7t = 4t + -9 (-4 * -4 + 3t * -4) + 7t = 4t + -9 (16 + -12t) + 7t = 4t + -9 Combine like terms: -12t + 7t = -5t 16 + -5t = 4t + -9 Reorder the terms: 16 + -5t = -9 + 4t Solving 16 + -5t = -9 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 16 + -5t + -4t = -9 + 4t + -4t Combine like terms: -5t + -4t = -9t 16 + -9t = -9 + 4t + -4t Combine like terms: 4t + -4t = 0 16 + -9t = -9 + 0 16 + -9t = -9 Add '-16' to each side of the equation. 16 + -16 + -9t = -9 + -16 Combine like terms: 16 + -16 = 0 0 + -9t = -9 + -16 -9t = -9 + -16 Combine like terms: -9 + -16 = -25 -9t = -25 Divide each side by '-9'. t = 2.777777778 Simplifying t = 2.777777778
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