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Simplifying -7.37 + -3.2t = 4.9(t + 6.1) * 0.1 Reorder the terms: -7.37 + -3.2t = 4.9(6.1 + t) * 0.1 Reorder the terms for easier multiplication: -7.37 + -3.2t = 4.9 * 0.1(6.1 + t) Multiply 4.9 * 0.1 -7.37 + -3.2t = 0.49(6.1 + t) -7.37 + -3.2t = (6.1 * 0.49 + t * 0.49) -7.37 + -3.2t = (2.989 + 0.49t) Solving -7.37 + -3.2t = 2.989 + 0.49t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.49t' to each side of the equation. -7.37 + -3.2t + -0.49t = 2.989 + 0.49t + -0.49t Combine like terms: -3.2t + -0.49t = -3.69t -7.37 + -3.69t = 2.989 + 0.49t + -0.49t Combine like terms: 0.49t + -0.49t = 0.00 -7.37 + -3.69t = 2.989 + 0.00 -7.37 + -3.69t = 2.989 Add '7.37' to each side of the equation. -7.37 + 7.37 + -3.69t = 2.989 + 7.37 Combine like terms: -7.37 + 7.37 = 0.00 0.00 + -3.69t = 2.989 + 7.37 -3.69t = 2.989 + 7.37 Combine like terms: 2.989 + 7.37 = 10.359 -3.69t = 10.359 Divide each side by '-3.69'. t = -2.807317073 Simplifying t = -2.807317073
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