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Simplifying -4(t + -4) + 9t = 3t + -3 Reorder the terms: -4(-4 + t) + 9t = 3t + -3 (-4 * -4 + t * -4) + 9t = 3t + -3 (16 + -4t) + 9t = 3t + -3 Combine like terms: -4t + 9t = 5t 16 + 5t = 3t + -3 Reorder the terms: 16 + 5t = -3 + 3t Solving 16 + 5t = -3 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 16 + 5t + -3t = -3 + 3t + -3t Combine like terms: 5t + -3t = 2t 16 + 2t = -3 + 3t + -3t Combine like terms: 3t + -3t = 0 16 + 2t = -3 + 0 16 + 2t = -3 Add '-16' to each side of the equation. 16 + -16 + 2t = -3 + -16 Combine like terms: 16 + -16 = 0 0 + 2t = -3 + -16 2t = -3 + -16 Combine like terms: -3 + -16 = -19 2t = -19 Divide each side by '2'. t = -9.5 Simplifying t = -9.5
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