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Simplifying -4.07 + -4.7t = 9.8(t + 2.1) Reorder the terms: -4.07 + -4.7t = 9.8(2.1 + t) -4.07 + -4.7t = (2.1 * 9.8 + t * 9.8) -4.07 + -4.7t = (20.58 + 9.8t) Solving -4.07 + -4.7t = 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. -4.07 + -4.7t + -9.8t = 20.58 + 9.8t + -9.8t Combine like terms: -4.7t + -9.8t = -14.5t -4.07 + -14.5t = 20.58 + 9.8t + -9.8t Combine like terms: 9.8t + -9.8t = 0.0 -4.07 + -14.5t = 20.58 + 0.0 -4.07 + -14.5t = 20.58 Add '4.07' to each side of the equation. -4.07 + 4.07 + -14.5t = 20.58 + 4.07 Combine like terms: -4.07 + 4.07 = 0.00 0.00 + -14.5t = 20.58 + 4.07 -14.5t = 20.58 + 4.07 Combine like terms: 20.58 + 4.07 = 24.65 -14.5t = 24.65 Divide each side by '-14.5'. t = -1.7 Simplifying t = -1.7
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