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Simplifying 2.2(t + 1) + -4.5t = 1.8t + 20 Reorder the terms: 2.2(1 + t) + -4.5t = 1.8t + 20 (1 * 2.2 + t * 2.2) + -4.5t = 1.8t + 20 (2.2 + 2.2t) + -4.5t = 1.8t + 20 Combine like terms: 2.2t + -4.5t = -2.3t 2.2 + -2.3t = 1.8t + 20 Reorder the terms: 2.2 + -2.3t = 20 + 1.8t Solving 2.2 + -2.3t = 20 + 1.8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1.8t' to each side of the equation. 2.2 + -2.3t + -1.8t = 20 + 1.8t + -1.8t Combine like terms: -2.3t + -1.8t = -4.1t 2.2 + -4.1t = 20 + 1.8t + -1.8t Combine like terms: 1.8t + -1.8t = 0.0 2.2 + -4.1t = 20 + 0.0 2.2 + -4.1t = 20 Add '-2.2' to each side of the equation. 2.2 + -2.2 + -4.1t = 20 + -2.2 Combine like terms: 2.2 + -2.2 = 0.0 0.0 + -4.1t = 20 + -2.2 -4.1t = 20 + -2.2 Combine like terms: 20 + -2.2 = 17.8 -4.1t = 17.8 Divide each side by '-4.1'. t = -4.341463415 Simplifying t = -4.341463415
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