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Simplifying 55.675 = 14.6 + 24.9 + t Combine like terms: 14.6 + 24.9 = 39.5 55.675 = 39.5 + t Solving 55.675 = 39.5 + 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. 55.675 + -1t = 39.5 + t + -1t Combine like terms: t + -1t = 0 55.675 + -1t = 39.5 + 0 55.675 + -1t = 39.5 Add '-55.675' to each side of the equation. 55.675 + -55.675 + -1t = 39.5 + -55.675 Combine like terms: 55.675 + -55.675 = 0.000 0.000 + -1t = 39.5 + -55.675 -1t = 39.5 + -55.675 Combine like terms: 39.5 + -55.675 = -16.175 -1t = -16.175 Divide each side by '-1'. t = 16.175 Simplifying t = 16.175
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