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Simplifying 1.81(25.3 + -1t) = (t + -2.46) (25.3 * 1.81 + -1t * 1.81) = (t + -2.46) (45.793 + -1.81t) = (t + -2.46) Reorder the terms: 45.793 + -1.81t = (-2.46 + t) Remove parenthesis around (-2.46 + t) 45.793 + -1.81t = -2.46 + t Solving 45.793 + -1.81t = -2.46 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 45.793 + -1.81t + -1t = -2.46 + t + -1t Combine like terms: -1.81t + -1t = -2.81t 45.793 + -2.81t = -2.46 + t + -1t Combine like terms: t + -1t = 0 45.793 + -2.81t = -2.46 + 0 45.793 + -2.81t = -2.46 Add '-45.793' to each side of the equation. 45.793 + -45.793 + -2.81t = -2.46 + -45.793 Combine like terms: 45.793 + -45.793 = 0.000 0.000 + -2.81t = -2.46 + -45.793 -2.81t = -2.46 + -45.793 Combine like terms: -2.46 + -45.793 = -48.253 -2.81t = -48.253 Divide each side by '-2.81'. t = 17.17188612 Simplifying t = 17.17188612
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