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Simplifying 0.4t + 2.6 = 0.8(t + -8.2) Reorder the terms: 2.6 + 0.4t = 0.8(t + -8.2) Reorder the terms: 2.6 + 0.4t = 0.8(-8.2 + t) 2.6 + 0.4t = (-8.2 * 0.8 + t * 0.8) 2.6 + 0.4t = (-6.56 + 0.8t) Solving 2.6 + 0.4t = -6.56 + 0.8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.8t' to each side of the equation. 2.6 + 0.4t + -0.8t = -6.56 + 0.8t + -0.8t Combine like terms: 0.4t + -0.8t = -0.4t 2.6 + -0.4t = -6.56 + 0.8t + -0.8t Combine like terms: 0.8t + -0.8t = 0.0 2.6 + -0.4t = -6.56 + 0.0 2.6 + -0.4t = -6.56 Add '-2.6' to each side of the equation. 2.6 + -2.6 + -0.4t = -6.56 + -2.6 Combine like terms: 2.6 + -2.6 = 0.0 0.0 + -0.4t = -6.56 + -2.6 -0.4t = -6.56 + -2.6 Combine like terms: -6.56 + -2.6 = -9.16 -0.4t = -9.16 Divide each side by '-0.4'. t = 22.9 Simplifying t = 22.9
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