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Simplifying -6.2 + -4.3t = 9.8(t + 2.1) Reorder the terms: -6.2 + -4.3t = 9.8(2.1 + t) -6.2 + -4.3t = (2.1 * 9.8 + t * 9.8) -6.2 + -4.3t = (20.58 + 9.8t) Solving -6.2 + -4.3t = 20.58 + 9.8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9.8t' to each side of the equation. -6.2 + -4.3t + -9.8t = 20.58 + 9.8t + -9.8t Combine like terms: -4.3t + -9.8t = -14.1t -6.2 + -14.1t = 20.58 + 9.8t + -9.8t Combine like terms: 9.8t + -9.8t = 0.0 -6.2 + -14.1t = 20.58 + 0.0 -6.2 + -14.1t = 20.58 Add '6.2' to each side of the equation. -6.2 + 6.2 + -14.1t = 20.58 + 6.2 Combine like terms: -6.2 + 6.2 = 0.0 0.0 + -14.1t = 20.58 + 6.2 -14.1t = 20.58 + 6.2 Combine like terms: 20.58 + 6.2 = 26.78 -14.1t = 26.78 Divide each side by '-14.1'. t = -1.89929078 Simplifying t = -1.89929078
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