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Simplifying 28 + -4(9 + -2t) = 4(t + -1) 28 + (9 * -4 + -2t * -4) = 4(t + -1) 28 + (-36 + 8t) = 4(t + -1) Combine like terms: 28 + -36 = -8 -8 + 8t = 4(t + -1) Reorder the terms: -8 + 8t = 4(-1 + t) -8 + 8t = (-1 * 4 + t * 4) -8 + 8t = (-4 + 4t) Solving -8 + 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. -8 + 8t + -4t = -4 + 4t + -4t Combine like terms: 8t + -4t = 4t -8 + 4t = -4 + 4t + -4t Combine like terms: 4t + -4t = 0 -8 + 4t = -4 + 0 -8 + 4t = -4 Add '8' to each side of the equation. -8 + 8 + 4t = -4 + 8 Combine like terms: -8 + 8 = 0 0 + 4t = -4 + 8 4t = -4 + 8 Combine like terms: -4 + 8 = 4 4t = 4 Divide each side by '4'. t = 1 Simplifying t = 1
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