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Simplifying -4(7 + -2t) = 4(t + -1) (7 * -4 + -2t * -4) = 4(t + -1) (-28 + 8t) = 4(t + -1) Reorder the terms: -28 + 8t = 4(-1 + t) -28 + 8t = (-1 * 4 + t * 4) -28 + 8t = (-4 + 4t) Solving -28 + 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. -28 + 8t + -4t = -4 + 4t + -4t Combine like terms: 8t + -4t = 4t -28 + 4t = -4 + 4t + -4t Combine like terms: 4t + -4t = 0 -28 + 4t = -4 + 0 -28 + 4t = -4 Add '28' to each side of the equation. -28 + 28 + 4t = -4 + 28 Combine like terms: -28 + 28 = 0 0 + 4t = -4 + 28 4t = -4 + 28 Combine like terms: -4 + 28 = 24 4t = 24 Divide each side by '4'. t = 6 Simplifying t = 6
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