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Simplifying 32 + -4(9 + -2t) = 4(t + -1) 32 + (9 * -4 + -2t * -4) = 4(t + -1) 32 + (-36 + 8t) = 4(t + -1) Combine like terms: 32 + -36 = -4 -4 + 8t = 4(t + -1) Reorder the terms: -4 + 8t = 4(-1 + t) -4 + 8t = (-1 * 4 + t * 4) -4 + 8t = (-4 + 4t) Add '4' to each side of the equation. -4 + 4 + 8t = -4 + 4 + 4t Combine like terms: -4 + 4 = 0 0 + 8t = -4 + 4 + 4t 8t = -4 + 4 + 4t Combine like terms: -4 + 4 = 0 8t = 0 + 4t 8t = 4t Solving 8t = 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. 8t + -4t = 4t + -4t Combine like terms: 8t + -4t = 4t 4t = 4t + -4t Combine like terms: 4t + -4t = 0 4t = 0 Divide each side by '4'. t = 0 Simplifying t = 0
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