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Simplifying -2t + -2(3 + 7t) = -5.2 + -15.8t -2t + (3 * -2 + 7t * -2) = -5.2 + -15.8t -2t + (-6 + -14t) = -5.2 + -15.8t Reorder the terms: -6 + -2t + -14t = -5.2 + -15.8t Combine like terms: -2t + -14t = -16t -6 + -16t = -5.2 + -15.8t Solving -6 + -16t = -5.2 + -15.8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '15.8t' to each side of the equation. -6 + -16t + 15.8t = -5.2 + -15.8t + 15.8t Combine like terms: -16t + 15.8t = -0.2t -6 + -0.2t = -5.2 + -15.8t + 15.8t Combine like terms: -15.8t + 15.8t = 0.0 -6 + -0.2t = -5.2 + 0.0 -6 + -0.2t = -5.2 Add '6' to each side of the equation. -6 + 6 + -0.2t = -5.2 + 6 Combine like terms: -6 + 6 = 0 0 + -0.2t = -5.2 + 6 -0.2t = -5.2 + 6 Combine like terms: -5.2 + 6 = 0.8 -0.2t = 0.8 Divide each side by '-0.2'. t = -4 Simplifying t = -4
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