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Simplifying 24 + -4(7 + -2t) = 4(t + 1) 24 + (7 * -4 + -2t * -4) = 4(t + 1) 24 + (-28 + 8t) = 4(t + 1) Combine like terms: 24 + -28 = -4 -4 + 8t = 4(t + 1) Reorder the terms: -4 + 8t = 4(1 + t) -4 + 8t = (1 * 4 + t * 4) -4 + 8t = (4 + 4t) Solving -4 + 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. -4 + 8t + -4t = 4 + 4t + -4t Combine like terms: 8t + -4t = 4t -4 + 4t = 4 + 4t + -4t Combine like terms: 4t + -4t = 0 -4 + 4t = 4 + 0 -4 + 4t = 4 Add '4' to each side of the equation. -4 + 4 + 4t = 4 + 4 Combine like terms: -4 + 4 = 0 0 + 4t = 4 + 4 4t = 4 + 4 Combine like terms: 4 + 4 = 8 4t = 8 Divide each side by '4'. t = 2 Simplifying t = 2
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