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Simplifying 0.6666(24t + -27) = -8(-1t + -4) + -6 Reorder the terms: 0.6666(-27 + 24t) = -8(-1t + -4) + -6 (-27 * 0.6666 + 24t * 0.6666) = -8(-1t + -4) + -6 (-17.9982 + 15.9984t) = -8(-1t + -4) + -6 Reorder the terms: -17.9982 + 15.9984t = -8(-4 + -1t) + -6 -17.9982 + 15.9984t = (-4 * -8 + -1t * -8) + -6 -17.9982 + 15.9984t = (32 + 8t) + -6 Reorder the terms: -17.9982 + 15.9984t = 32 + -6 + 8t Combine like terms: 32 + -6 = 26 -17.9982 + 15.9984t = 26 + 8t Solving -17.9982 + 15.9984t = 26 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. -17.9982 + 15.9984t + -8t = 26 + 8t + -8t Combine like terms: 15.9984t + -8t = 7.9984t -17.9982 + 7.9984t = 26 + 8t + -8t Combine like terms: 8t + -8t = 0 -17.9982 + 7.9984t = 26 + 0 -17.9982 + 7.9984t = 26 Add '17.9982' to each side of the equation. -17.9982 + 17.9982 + 7.9984t = 26 + 17.9982 Combine like terms: -17.9982 + 17.9982 = 0.0000 0.0000 + 7.9984t = 26 + 17.9982 7.9984t = 26 + 17.9982 Combine like terms: 26 + 17.9982 = 43.9982 7.9984t = 43.9982 Divide each side by '7.9984'. t = 5.500875175 Simplifying t = 5.500875175
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