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Simplifying 9(53.98 + -4.8t) = -2(12.6t + 5.49) (53.98 * 9 + -4.8t * 9) = -2(12.6t + 5.49) (485.82 + -43.2t) = -2(12.6t + 5.49) Reorder the terms: 485.82 + -43.2t = -2(5.49 + 12.6t) 485.82 + -43.2t = (5.49 * -2 + 12.6t * -2) 485.82 + -43.2t = (-10.98 + -25.2t) Solving 485.82 + -43.2t = -10.98 + -25.2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '25.2t' to each side of the equation. 485.82 + -43.2t + 25.2t = -10.98 + -25.2t + 25.2t Combine like terms: -43.2t + 25.2t = -18t 485.82 + -18t = -10.98 + -25.2t + 25.2t Combine like terms: -25.2t + 25.2t = 0.0 485.82 + -18t = -10.98 + 0.0 485.82 + -18t = -10.98 Add '-485.82' to each side of the equation. 485.82 + -485.82 + -18t = -10.98 + -485.82 Combine like terms: 485.82 + -485.82 = 0.00 0.00 + -18t = -10.98 + -485.82 -18t = -10.98 + -485.82 Combine like terms: -10.98 + -485.82 = -496.8 -18t = -496.8 Divide each side by '-18'. t = 27.6 Simplifying t = 27.6
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