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Simplifying -6.21 + -4.3t = 9.8(t + 2.1) Reorder the terms: -6.21 + -4.3t = 9.8(2.1 + t) -6.21 + -4.3t = (2.1 * 9.8 + t * 9.8) -6.21 + -4.3t = (20.58 + 9.8t) Solving -6.21 + -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. -6.21 + -4.3t + -9.8t = 20.58 + 9.8t + -9.8t Combine like terms: -4.3t + -9.8t = -14.1t -6.21 + -14.1t = 20.58 + 9.8t + -9.8t Combine like terms: 9.8t + -9.8t = 0.0 -6.21 + -14.1t = 20.58 + 0.0 -6.21 + -14.1t = 20.58 Add '6.21' to each side of the equation. -6.21 + 6.21 + -14.1t = 20.58 + 6.21 Combine like terms: -6.21 + 6.21 = 0.00 0.00 + -14.1t = 20.58 + 6.21 -14.1t = 20.58 + 6.21 Combine like terms: 20.58 + 6.21 = 26.79 -14.1t = 26.79 Divide each side by '-14.1'. t = -1.9 Simplifying t = -1.9
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