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Simplifying 24 + -4(9 + -2t) = 4(t + -1) 24 + (9 * -4 + -2t * -4) = 4(t + -1) 24 + (-36 + 8t) = 4(t + -1) Combine like terms: 24 + -36 = -12 -12 + 8t = 4(t + -1) Reorder the terms: -12 + 8t = 4(-1 + t) -12 + 8t = (-1 * 4 + t * 4) -12 + 8t = (-4 + 4t) Solving -12 + 8t = -4 + 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. -12 + 8t + -4t = -4 + 4t + -4t Combine like terms: 8t + -4t = 4t -12 + 4t = -4 + 4t + -4t Combine like terms: 4t + -4t = 0 -12 + 4t = -4 + 0 -12 + 4t = -4 Add '12' to each side of the equation. -12 + 12 + 4t = -4 + 12 Combine like terms: -12 + 12 = 0 0 + 4t = -4 + 12 4t = -4 + 12 Combine like terms: -4 + 12 = 8 4t = 8 Divide each side by '4'. t = 2 Simplifying t = 2
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