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Simplifying -7.37 + -3.2t = 4.9(t + 6.1) Reorder the terms: -7.37 + -3.2t = 4.9(6.1 + t) -7.37 + -3.2t = (6.1 * 4.9 + t * 4.9) -7.37 + -3.2t = (29.89 + 4.9t) Solving -7.37 + -3.2t = 29.89 + 4.9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4.9t' to each side of the equation. -7.37 + -3.2t + -4.9t = 29.89 + 4.9t + -4.9t Combine like terms: -3.2t + -4.9t = -8.1t -7.37 + -8.1t = 29.89 + 4.9t + -4.9t Combine like terms: 4.9t + -4.9t = 0.0 -7.37 + -8.1t = 29.89 + 0.0 -7.37 + -8.1t = 29.89 Add '7.37' to each side of the equation. -7.37 + 7.37 + -8.1t = 29.89 + 7.37 Combine like terms: -7.37 + 7.37 = 0.00 0.00 + -8.1t = 29.89 + 7.37 -8.1t = 29.89 + 7.37 Combine like terms: 29.89 + 7.37 = 37.26 -8.1t = 37.26 Divide each side by '-8.1'. t = -4.6 Simplifying t = -4.6
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