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Simplifying -2.2 + 22.2 = -1.7 + 3(8t + -0.9) Combine like terms: -2.2 + 22.2 = 20 20 = -1.7 + 3(8t + -0.9) Reorder the terms: 20 = -1.7 + 3(-0.9 + 8t) 20 = -1.7 + (-0.9 * 3 + 8t * 3) 20 = -1.7 + (-2.7 + 24t) Combine like terms: -1.7 + -2.7 = -4.4 20 = -4.4 + 24t Solving 20 = -4.4 + 24t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-24t' to each side of the equation. 20 + -24t = -4.4 + 24t + -24t Combine like terms: 24t + -24t = 0 20 + -24t = -4.4 + 0 20 + -24t = -4.4 Add '-20' to each side of the equation. 20 + -20 + -24t = -4.4 + -20 Combine like terms: 20 + -20 = 0 0 + -24t = -4.4 + -20 -24t = -4.4 + -20 Combine like terms: -4.4 + -20 = -24.4 -24t = -24.4 Divide each side by '-24'. t = 1.016666667 Simplifying t = 1.016666667
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