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Simplifying 4(t + -4) + 8t = 4(t + 3) + -9 Reorder the terms: 4(-4 + t) + 8t = 4(t + 3) + -9 (-4 * 4 + t * 4) + 8t = 4(t + 3) + -9 (-16 + 4t) + 8t = 4(t + 3) + -9 Combine like terms: 4t + 8t = 12t -16 + 12t = 4(t + 3) + -9 Reorder the terms: -16 + 12t = 4(3 + t) + -9 -16 + 12t = (3 * 4 + t * 4) + -9 -16 + 12t = (12 + 4t) + -9 Reorder the terms: -16 + 12t = 12 + -9 + 4t Combine like terms: 12 + -9 = 3 -16 + 12t = 3 + 4t Solving -16 + 12t = 3 + 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 + 12t + -4t = 3 + 4t + -4t Combine like terms: 12t + -4t = 8t -16 + 8t = 3 + 4t + -4t Combine like terms: 4t + -4t = 0 -16 + 8t = 3 + 0 -16 + 8t = 3 Add '16' to each side of the equation. -16 + 16 + 8t = 3 + 16 Combine like terms: -16 + 16 = 0 0 + 8t = 3 + 16 8t = 3 + 16 Combine like terms: 3 + 16 = 19 8t = 19 Divide each side by '8'. t = 2.375 Simplifying t = 2.375
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