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Simplifying -8(7 + 3t) = 4t (7 * -8 + 3t * -8) = 4t (-56 + -24t) = 4t Solving -56 + -24t = 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. -56 + -24t + -4t = 4t + -4t Combine like terms: -24t + -4t = -28t -56 + -28t = 4t + -4t Combine like terms: 4t + -4t = 0 -56 + -28t = 0 Add '56' to each side of the equation. -56 + 56 + -28t = 0 + 56 Combine like terms: -56 + 56 = 0 0 + -28t = 0 + 56 -28t = 0 + 56 Combine like terms: 0 + 56 = 56 -28t = 56 Divide each side by '-28'. t = -2 Simplifying t = -2
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