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Simplifying 8(3t + 2) = 4(7t + -1) Reorder the terms: 8(2 + 3t) = 4(7t + -1) (2 * 8 + 3t * 8) = 4(7t + -1) (16 + 24t) = 4(7t + -1) Reorder the terms: 16 + 24t = 4(-1 + 7t) 16 + 24t = (-1 * 4 + 7t * 4) 16 + 24t = (-4 + 28t) Solving 16 + 24t = -4 + 28t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-28t' to each side of the equation. 16 + 24t + -28t = -4 + 28t + -28t Combine like terms: 24t + -28t = -4t 16 + -4t = -4 + 28t + -28t Combine like terms: 28t + -28t = 0 16 + -4t = -4 + 0 16 + -4t = -4 Add '-16' to each side of the equation. 16 + -16 + -4t = -4 + -16 Combine like terms: 16 + -16 = 0 0 + -4t = -4 + -16 -4t = -4 + -16 Combine like terms: -4 + -16 = -20 -4t = -20 Divide each side by '-4'. t = 5 Simplifying t = 5
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