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Simplifying -3(t + -3) + 8t = 9t + -7 Reorder the terms: -3(-3 + t) + 8t = 9t + -7 (-3 * -3 + t * -3) + 8t = 9t + -7 (9 + -3t) + 8t = 9t + -7 Combine like terms: -3t + 8t = 5t 9 + 5t = 9t + -7 Reorder the terms: 9 + 5t = -7 + 9t Solving 9 + 5t = -7 + 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. 9 + 5t + -9t = -7 + 9t + -9t Combine like terms: 5t + -9t = -4t 9 + -4t = -7 + 9t + -9t Combine like terms: 9t + -9t = 0 9 + -4t = -7 + 0 9 + -4t = -7 Add '-9' to each side of the equation. 9 + -9 + -4t = -7 + -9 Combine like terms: 9 + -9 = 0 0 + -4t = -7 + -9 -4t = -7 + -9 Combine like terms: -7 + -9 = -16 -4t = -16 Divide each side by '-4'. t = 4 Simplifying t = 4
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