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Simplifying -0.75(24t + -27) = -8(-1t + -4) + -6 Reorder the terms: -0.75(-27 + 24t) = -8(-1t + -4) + -6 (-27 * -0.75 + 24t * -0.75) = -8(-1t + -4) + -6 (20.25 + -18t) = -8(-1t + -4) + -6 Reorder the terms: 20.25 + -18t = -8(-4 + -1t) + -6 20.25 + -18t = (-4 * -8 + -1t * -8) + -6 20.25 + -18t = (32 + 8t) + -6 Reorder the terms: 20.25 + -18t = 32 + -6 + 8t Combine like terms: 32 + -6 = 26 20.25 + -18t = 26 + 8t Solving 20.25 + -18t = 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. 20.25 + -18t + -8t = 26 + 8t + -8t Combine like terms: -18t + -8t = -26t 20.25 + -26t = 26 + 8t + -8t Combine like terms: 8t + -8t = 0 20.25 + -26t = 26 + 0 20.25 + -26t = 26 Add '-20.25' to each side of the equation. 20.25 + -20.25 + -26t = 26 + -20.25 Combine like terms: 20.25 + -20.25 = 0.00 0.00 + -26t = 26 + -20.25 -26t = 26 + -20.25 Combine like terms: 26 + -20.25 = 5.75 -26t = 5.75 Divide each side by '-26'. t = -0.2211538462 Simplifying t = -0.2211538462
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