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Simplifying 8(3t + -5) = 4(7t + -1) Reorder the terms: 8(-5 + 3t) = 4(7t + -1) (-5 * 8 + 3t * 8) = 4(7t + -1) (-40 + 24t) = 4(7t + -1) Reorder the terms: -40 + 24t = 4(-1 + 7t) -40 + 24t = (-1 * 4 + 7t * 4) -40 + 24t = (-4 + 28t) Solving -40 + 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. -40 + 24t + -28t = -4 + 28t + -28t Combine like terms: 24t + -28t = -4t -40 + -4t = -4 + 28t + -28t Combine like terms: 28t + -28t = 0 -40 + -4t = -4 + 0 -40 + -4t = -4 Add '40' to each side of the equation. -40 + 40 + -4t = -4 + 40 Combine like terms: -40 + 40 = 0 0 + -4t = -4 + 40 -4t = -4 + 40 Combine like terms: -4 + 40 = 36 -4t = 36 Divide each side by '-4'. t = -9 Simplifying t = -9
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