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Simplifying -2.2 + 22.2t = -1.7t + 3(8t + -0.9) Reorder the terms: -2.2 + 22.2t = -1.7t + 3(-0.9 + 8t) -2.2 + 22.2t = -1.7t + (-0.9 * 3 + 8t * 3) -2.2 + 22.2t = -1.7t + (-2.7 + 24t) Reorder the terms: -2.2 + 22.2t = -2.7 + -1.7t + 24t Combine like terms: -1.7t + 24t = 22.3t -2.2 + 22.2t = -2.7 + 22.3t Solving -2.2 + 22.2t = -2.7 + 22.3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-22.3t' to each side of the equation. -2.2 + 22.2t + -22.3t = -2.7 + 22.3t + -22.3t Combine like terms: 22.2t + -22.3t = -0.1t -2.2 + -0.1t = -2.7 + 22.3t + -22.3t Combine like terms: 22.3t + -22.3t = 0.0 -2.2 + -0.1t = -2.7 + 0.0 -2.2 + -0.1t = -2.7 Add '2.2' to each side of the equation. -2.2 + 2.2 + -0.1t = -2.7 + 2.2 Combine like terms: -2.2 + 2.2 = 0.0 0.0 + -0.1t = -2.7 + 2.2 -0.1t = -2.7 + 2.2 Combine like terms: -2.7 + 2.2 = -0.5 -0.1t = -0.5 Divide each side by '-0.1'. t = 5 Simplifying t = 5
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