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Simplifying -4(t + -4) + 8t = 9t + -9 Reorder the terms: -4(-4 + t) + 8t = 9t + -9 (-4 * -4 + t * -4) + 8t = 9t + -9 (16 + -4t) + 8t = 9t + -9 Combine like terms: -4t + 8t = 4t 16 + 4t = 9t + -9 Reorder the terms: 16 + 4t = -9 + 9t Solving 16 + 4t = -9 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. 16 + 4t + -9t = -9 + 9t + -9t Combine like terms: 4t + -9t = -5t 16 + -5t = -9 + 9t + -9t Combine like terms: 9t + -9t = 0 16 + -5t = -9 + 0 16 + -5t = -9 Add '-16' to each side of the equation. 16 + -16 + -5t = -9 + -16 Combine like terms: 16 + -16 = 0 0 + -5t = -9 + -16 -5t = -9 + -16 Combine like terms: -9 + -16 = -25 -5t = -25 Divide each side by '-5'. t = 5 Simplifying t = 5
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